457117965756 has 216 divisors, whose sum is σ = 1228128457920. Its totient is φ = 148827414528.

The previous prime is 457117965743. The next prime is 457117965767. The reversal of 457117965756 is 657569711754.

457117965756 is a `hidden beast` number, since 4 + 57 + 1 + 1 + 7 + 9 + 6 + 575 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 457117965693 and 457117965702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201106636 + ... + 201108908.

Almost surely, 2^457117965756 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 457117965756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614064228960).

457117965756 is an abundant number, since it is smaller than the sum of its proper divisors (771010492164).

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

457117965756 is an equidigital number, since it uses as much as digits as its factorization.

457117965756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2454 counting only the distinct ones).

The product of its digits is 55566000, while the sum is 63.

The spelling of 457117965756 in words is "four hundred fifty-seven billion, one hundred seventeen million, nine hundred sixty-five thousand, seven hundred fifty-six".