46125338706432 has 320 divisors, whose sum is σ = 136890000086400. Its totient is φ = 15335104757760.

The previous prime is 46125338706407. The next prime is 46125338706467. The reversal of 46125338706432 is 23460783352164.

46125338706432 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 533 + 8 + 70 + 6 + 4 + 32 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10211496238 + ... + 10211500754.

It is an arithmetic number, because the mean of its divisors is an integer number (427781250270).

Almost surely, 2^{46125338706432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46125338706432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68445000043200).

46125338706432 is an abundant number, since it is smaller than the sum of its proper divisors (90764661379968).

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

46125338706432 is a wasteful number, since it uses less digits than its factorization.

46125338706432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 46125338706432 in words is "forty-six trillion, one hundred twenty-five billion, three hundred thirty-eight million, seven hundred six thousand, four hundred thirty-two".