46864503399168 has 864 divisors, whose sum is σ = 172246251340800. Its totient is φ = 11919259828224.

The previous prime is 46864503399163. The next prime is 46864503399169. The reversal of 46864503399168 is 86199330546864.

46864503399168 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 450 + 3 + 3 + 9 + 9 + 168 = 666.

46864503399168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46864503399096 and 46864503399105.

It is not an unprimeable number, because it can be changed into a prime (46864503399163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5587751071 + ... + 5587759457.

It is an arithmetic number, because the mean of its divisors is an integer number (199359087200).

Almost surely, 2^{46864503399168} is an apocalyptic number.

46864503399168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46864503399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86123125670400).

46864503399168 is an abundant number, since it is smaller than the sum of its proper divisors (125381747941632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46864503399168 is a wasteful number, since it uses less digits than its factorization.

46864503399168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 46864503399168 in words is "forty-six trillion, eight hundred sixty-four billion, five hundred three million, three hundred ninety-nine thousand, one hundred sixty-eight".