457516038312 has 160 divisors (see below), whose sum is σ = 1360441526400. Its totient is φ = 143154418176.

The previous prime is 457516038307. The next prime is 457516038313. The reversal of 457516038312 is 213830615754.

It is a happy number.

457516038312 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 1 + 603 + 8 + 31 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (457516038313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4120273 + ... + 4229855.

It is an arithmetic number, because the mean of its divisors is an integer number (8502759540).

Almost surely, 2^457516038312 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 457516038312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680220763200).

457516038312 is an abundant number, since it is smaller than the sum of its proper divisors (902925488088).

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

457516038312 is a wasteful number, since it uses less digits than its factorization.

457516038312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109997 (or 109984 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 457516038312 in words is "four hundred fifty-seven billion, five hundred sixteen million, thirty-eight thousand, three hundred twelve".