57468124490112 has 192 divisors, whose sum is σ = 189022263206400. Its totient is φ = 16417084603392.

The previous prime is 57468124490099. The next prime is 57468124490131. The reversal of 57468124490112 is 21109442186475.

57468124490112 is a `hidden beast` number, since 5 + 7 + 4 + 6 + 81 + 2 + 449 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×57468124490112² (a number of 28 digits) contains 22 as substring.

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, 55507689 + ... + 56533527.

It is an arithmetic number, because the mean of its divisors is an integer number (984490954200).

Almost surely, 2^{57468124490112} 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 57468124490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94511131603200).

57468124490112 is an abundant number, since it is smaller than the sum of its proper divisors (131554138716288).

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

57468124490112 is a wasteful number, since it uses less digits than its factorization.

57468124490112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032813 (or 1032798 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 57468124490112 in words is "fifty-seven trillion, four hundred sixty-eight billion, one hundred twenty-four million, four hundred ninety thousand, one hundred twelve".