457818075456 has 224 divisors, whose sum is σ = 1395603609600. Its totient is φ = 129746479104.

The previous prime is 457818075431. The next prime is 457818075469. The reversal of 457818075456 is 654570818754.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 457818075456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92804766 + ... + 92809698.

Almost surely, 2^457818075456 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 457818075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697801804800).

457818075456 is an abundant number, since it is smaller than the sum of its proper divisors (937785534144).

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

457818075456 is a wasteful number, since it uses less digits than its factorization.

457818075456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 60.

The spelling of 457818075456 in words is "four hundred fifty-seven billion, eight hundred eighteen million, seventy-five thousand, four hundred fifty-six".