57663313344 has 224 divisors, whose sum is σ = 208639907840. Its totient is φ = 15207865344.

The previous prime is 57663313321. The next prime is 57663313381. The reversal of 57663313344 is 44331336675.

57663313344 is a `hidden beast` number, since 5 + 7 + 6 + 633 + 1 + 3 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 57663313344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26104 + ... + 340599.

It is an arithmetic number, because the mean of its divisors is an integer number (931428160).

Almost surely, 2^57663313344 is an apocalyptic number.

57663313344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57663313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104319953920).

57663313344 is an abundant number, since it is smaller than the sum of its proper divisors (150976594496).

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

57663313344 is a wasteful number, since it uses less digits than its factorization.

57663313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366744 (or 366728 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

It can be divided in two parts, 5766331 and 3344, that added together give a palindrome (5769675).

The spelling of 57663313344 in words is "fifty-seven billion, six hundred sixty-three million, three hundred thirteen thousand, three hundred forty-four".