457697350656 has 2112 divisors, whose sum is σ = 1892693537280. Its totient is φ = 107017666560.

The previous prime is 457697350573. The next prime is 457697350661. The reversal of 457697350656 is 656053796754.

457697350656 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 9 + 73 + 506 + 56 = 666.

It is a super-3 number, since 3×457697350656³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 457697350593 and 457697350602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11163349996 + ... + 11163350036.

Almost surely, 2^457697350656 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 457697350656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946346768640).

457697350656 is an abundant number, since it is smaller than the sum of its proper divisors (1434996186624).

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

457697350656 is a wasteful number, since it uses less digits than its factorization.

457697350656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 63.

The spelling of 457697350656 in words is "four hundred fifty-seven billion, six hundred ninety-seven million, three hundred fifty thousand, six hundred fifty-six".