457971850656 has 36 divisors (see below), whose sum is σ = 1302357451122. Its totient is φ = 152657283456.

The previous prime is 457971850643. The next prime is 457971850669. The reversal of 457971850656 is 656058179754.

457971850656 is a `hidden beast` number, since 4 + 5 + 7 + 9 + 71 + 8 + 506 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (457971850643) and next prime (457971850669).

It can be written as a sum of positive squares in only one way, i.e., 456321866256 + 1649984400 = 675516^2 + 40620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 457971850593 and 457971850602.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 795089731 + ... + 795090306.

Almost surely, 2^457971850656 is an apocalyptic number.

It is an amenable number.

457971850656 is an abundant number, since it is smaller than the sum of its proper divisors (844385600466).

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

457971850656 is a wasteful number, since it uses less digits than its factorization.

457971850656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590180053 (or 1590180042 counting only the distinct ones).

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

The spelling of 457971850656 in words is "four hundred fifty-seven billion, nine hundred seventy-one million, eight hundred fifty thousand, six hundred fifty-six".