10457517344832 has 448 divisors, whose sum is σ = 32591849472000. Its totient is φ = 3278899574784.

The previous prime is 10457517344803. The next prime is 10457517344843. The reversal of 10457517344832 is 23844371575401.

10457517344832 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 517 + 3 + 44 + 83 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 6388219918 + ... + 6388221554.

It is an arithmetic number, because the mean of its divisors is an integer number (72749664000).

Almost surely, 2^{10457517344832} is an apocalyptic number.

10457517344832 is a gapful number since it is divisible by the number (12) 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 10457517344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295924736000).

10457517344832 is an abundant number, since it is smaller than the sum of its proper divisors (22134332127168).

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

10457517344832 is a wasteful number, since it uses less digits than its factorization.

10457517344832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 10457517344832 in words is "ten trillion, four hundred fifty-seven billion, five hundred seventeen million, three hundred forty-four thousand, eight hundred thirty-two".