46399884568884 has 2304 divisors, whose sum is σ = 170668405555200. Its totient is φ = 10623571200000.

The previous prime is 46399884568759. The next prime is 46399884568901. The reversal of 46399884568884 is 48886548899364.

46399884568884 is a `hidden beast` number, since 4 + 6 + 39 + 9 + 8 + 8 + 4 + 568 + 8 + 8 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46399884568794 and 46399884568803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 184860097759 + ... + 184860098009.

It is an arithmetic number, because the mean of its divisors is an integer number (74074828800).

Almost surely, 2^{46399884568884} is an apocalyptic number.

46399884568884 is a gapful number since it is divisible by the number (44) 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 46399884568884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85334202777600).

46399884568884 is an abundant number, since it is smaller than the sum of its proper divisors (124268520986316).

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

46399884568884 is a wasteful number, since it uses less digits than its factorization.

46399884568884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its digits is 91729428480, while the sum is 90.

The spelling of 46399884568884 in words is "forty-six trillion, three hundred ninety-nine billion, eight hundred eighty-four million, five hundred sixty-eight thousand, eight hundred eighty-four".