457297645168 has 160 divisors (see below), whose sum is σ = 1113847459200. Its totient is φ = 177049387008.

The previous prime is 457297645163. The next prime is 457297645169. The reversal of 457297645168 is 861546792754.

It is a super-2 number, since 2×457297645168² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457297645163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31554468 + ... + 31568956.

It is an arithmetic number, because the mean of its divisors is an integer number (6961546620).

Almost surely, 2^457297645168 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 457297645168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556923729600).

457297645168 is an abundant number, since it is smaller than the sum of its proper divisors (656549814032).

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

457297645168 is a wasteful number, since it uses less digits than its factorization.

457297645168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14979 (or 14973 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

The spelling of 457297645168 in words is "four hundred fifty-seven billion, two hundred ninety-seven million, six hundred forty-five thousand, one hundred sixty-eight".