57469672218816 has 2016 divisors, whose sum is σ = 219432671827200. Its totient is φ = 14164871086080.

The previous prime is 57469672218811. The next prime is 57469672218953. The reversal of 57469672218816 is 61881227696475.

57469672218816 is a `hidden beast` number, since 5 + 7 + 469 + 6 + 72 + 2 + 1 + 88 + 16 = 666.

It is a super-4 number, since 4×57469672218816⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (57469672218811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30781826715 + ... + 30781828581.

Almost surely, 2^{57469672218816} 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 57469672218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109716335913600).

57469672218816 is an abundant number, since it is smaller than the sum of its proper divisors (161962999608384).

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

57469672218816 is a wasteful number, since it uses less digits than its factorization.

57469672218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2021 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 57469672218816 in words is "fifty-seven trillion, four hundred sixty-nine billion, six hundred seventy-two million, two hundred eighteen thousand, eight hundred sixteen".