45517057340832 has 432 divisors, whose sum is σ = 169924588797600. Its totient is φ = 11414934881280.

The previous prime is 45517057340753. The next prime is 45517057340879. The reversal of 45517057340832 is 23804375071554.

45517057340832 is a `hidden beast` number, since 4 + 5 + 5 + 170 + 57 + 340 + 83 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553782 + ... + 9557237.

It is an arithmetic number, because the mean of its divisors is an integer number (393343955550).

Almost surely, 2^{45517057340832} is an apocalyptic number.

45517057340832 is a gapful number since it is divisible by the number (42) 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 45517057340832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84962294398800).

45517057340832 is an abundant number, since it is smaller than the sum of its proper divisors (124407531456768).

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

45517057340832 is a wasteful number, since it uses less digits than its factorization.

45517057340832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111089 (or 10111071 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 45517057340832 in words is "forty-five trillion, five hundred seventeen billion, fifty-seven million, three hundred forty thousand, eight hundred thirty-two".