57449010816 has 192 divisors, whose sum is σ = 170112407400. Its totient is φ = 18596044800.

The previous prime is 57449010803. The next prime is 57449010821. The reversal of 57449010816 is 61801094475.

57449010816 is a `hidden beast` number, since 5 + 74 + 490 + 10 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38212430400 + 19236580416 = 195480^2 + 138696^2 .

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

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, 30219466 + ... + 30221366.

Almost surely, 2^57449010816 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 57449010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85056203700).

57449010816 is an abundant number, since it is smaller than the sum of its proper divisors (112663396584).

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

57449010816 is a wasteful number, since it uses less digits than its factorization.

57449010816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 57449010816 in words is "fifty-seven billion, four hundred forty-nine million, ten thousand, eight hundred sixteen".