45908715593136 has 320 divisors, whose sum is σ = 138200183193600. Its totient is φ = 12994747315200.

The previous prime is 45908715593093. The next prime is 45908715593141. The reversal of 45908715593136 is 63139551780954.

It is a super-2 number, since 2×45908715593136² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1774785675 + ... + 1774811541.

It is an arithmetic number, because the mean of its divisors is an integer number (431875572480).

Almost surely, 2^{45908715593136} 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 45908715593136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69100091596800).

45908715593136 is an abundant number, since it is smaller than the sum of its proper divisors (92291467600464).

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

45908715593136 is a wasteful number, since it uses less digits than its factorization.

45908715593136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29688 (or 29682 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 66.

The spelling of 45908715593136 in words is "forty-five trillion, nine hundred eight billion, seven hundred fifteen million, five hundred ninety-three thousand, one hundred thirty-six".