57449193984 has 480 divisors, whose sum is σ = 216094919040. Its totient is φ = 14258405376.

The previous prime is 57449193961. The next prime is 57449194037. The reversal of 57449193984 is 48939194475.

57449193984 is a `hidden beast` number, since 57 + 4 + 491 + 9 + 3 + 98 + 4 = 666.

It is a super-2 number, since 2×57449193984² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7124547 + ... + 7132605.

It is an arithmetic number, because the mean of its divisors is an integer number (450197748).

Almost surely, 2^57449193984 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 57449193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108047459520).

57449193984 is an abundant number, since it is smaller than the sum of its proper divisors (158645725056).

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

57449193984 is a wasteful number, since it uses less digits than its factorization.

57449193984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 8101 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 57449193984 in words is "fifty-seven billion, four hundred forty-nine million, one hundred ninety-three thousand, nine hundred eighty-four".