45908407656 has 192 divisors, whose sum is σ = 136145318400. Its totient is φ = 13926965760.

The previous prime is 45908407627. The next prime is 45908407717. The reversal of 45908407656 is 65670480954.

45908407656 is a `hidden beast` number, since 4 + 590 + 8 + 40 + 7 + 6 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36463555 + ... + 36464813.

It is an arithmetic number, because the mean of its divisors is an integer number (709090200).

Almost surely, 2^45908407656 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 45908407656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68072659200).

45908407656 is an abundant number, since it is smaller than the sum of its proper divisors (90236910744).

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

45908407656 is a wasteful number, since it uses less digits than its factorization.

45908407656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45908407656 in words is "forty-five billion, nine hundred eight million, four hundred seven thousand, six hundred fifty-six".