46685674035000 has 3840 divisors, whose sum is σ = 222696714240000. Its totient is φ = 8519385600000.

The previous prime is 46685674034999. The next prime is 46685674035023. The reversal of 46685674035000 is 53047658664.

46685674035000 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 567 + 40 + 35 + 0 + 0 + 0 = 666.

46685674035000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 959 ways as a sum of consecutive naturals, for example, 93558464751 + ... + 93558465249.

It is an arithmetic number, because the mean of its divisors is an integer number (57993936000).

Almost surely, 2^{46685674035000} is an apocalyptic number.

46685674035000 is a gapful number since it is divisible by the number (40) 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 46685674035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111348357120000).

46685674035000 is an abundant number, since it is smaller than the sum of its proper divisors (176011040205000).

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

46685674035000 is a wasteful number, since it uses less digits than its factorization.

46685674035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 46685674035000 in words is "forty-six trillion, six hundred eighty-five billion, six hundred seventy-four million, thirty-five thousand".