46415372092704 has 144 divisors (see below), whose sum is σ = 132613663455000. Its totient is φ = 15399219363840.

The previous prime is 46415372092699. The next prime is 46415372092741. The reversal of 46415372092704 is 40729027351464.

46415372092704 is a `hidden beast` number, since 4 + 6 + 415 + 3 + 72 + 0 + 92 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46395878348304 + 19493744400 = 6811452^2 + 139620^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 92194944 + ... + 92697024.

Almost surely, 2^{46415372092704} 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 46415372092704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66306831727500).

46415372092704 is an abundant number, since it is smaller than the sum of its proper divisors (86198291362296).

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

46415372092704 is a wasteful number, since it uses less digits than its factorization.

46415372092704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503603 (or 503592 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 46415372092704 in words is "forty-six trillion, four hundred fifteen billion, three hundred seventy-two million, ninety-two thousand, seven hundred four".