57113465472 has 720 divisors, whose sum is σ = 210573341550. Its totient is φ = 15318761472.

The previous prime is 57113465419. The next prime is 57113465477. The reversal of 57113465472 is 27456431175.

57113465472 is a `hidden beast` number, since 5 + 7 + 113 + 4 + 65 + 472 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 53983734336 + 3129731136 = 232344^2 + 55944^2 .

It is not an unprimeable number, because it can be changed into a prime (57113465477) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 146821054 + ... + 146821442.

Almost surely, 2^57113465472 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 57113465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105286670775).

57113465472 is an abundant number, since it is smaller than the sum of its proper divisors (153459876078).

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

57113465472 is a wasteful number, since it uses less digits than its factorization.

57113465472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 418 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 57113465472 in words is "fifty-seven billion, one hundred thirteen million, four hundred sixty-five thousand, four hundred seventy-two".