457185769056 has 144 divisors (see below), whose sum is σ = 1333822902048. Its totient is φ = 148456089600.

The previous prime is 457185769049. The next prime is 457185769067. The reversal of 457185769056 is 650967581754.

457185769056 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 8 + 576 + 9 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×457185769056² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457185768984 and 457185769002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7965421 + ... + 8022611.

It is an arithmetic number, because the mean of its divisors is an integer number (9262659042).

Almost surely, 2^457185769056 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 457185769056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666911451024).

457185769056 is an abundant number, since it is smaller than the sum of its proper divisors (876637132992).

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

457185769056 is a wasteful number, since it uses less digits than its factorization.

457185769056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57925 (or 57914 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 457185769056 in words is "four hundred fifty-seven billion, one hundred eighty-five million, seven hundred sixty-nine thousand, fifty-six".