457807557816 has 384 divisors, whose sum is σ = 1509580800000. Its totient is φ = 125141829120.

The previous prime is 457807557787. The next prime is 457807557827. The reversal of 457807557816 is 618755708754.

457807557816 is a `hidden beast` number, since 4 + 5 + 78 + 0 + 7 + 557 + 8 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68132905 + ... + 68139623.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200000).

Almost surely, 2^457807557816 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 457807557816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400000).

457807557816 is an abundant number, since it is smaller than the sum of its proper divisors (1051773242184).

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

457807557816 is a wasteful number, since it uses less digits than its factorization.

457807557816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 63.

The spelling of 457807557816 in words is "four hundred fifty-seven billion, eight hundred seven million, five hundred fifty-seven thousand, eight hundred sixteen".