57465022906368 has 1224 divisors, whose sum is σ = 210764533569408. Its totient is φ = 14657126400000.

The previous prime is 57465022906327. The next prime is 57465022906387. The reversal of 57465022906368 is 86360922056475.

57465022906368 is a `hidden beast` number, since 5 + 7 + 4 + 6 + 502 + 2 + 9 + 0 + 63 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228944314243 + ... + 228944314493.

Almost surely, 2^{57465022906368} 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 57465022906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105382266784704).

57465022906368 is an abundant number, since it is smaller than the sum of its proper divisors (153299510663040).

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

57465022906368 is an equidigital number, since it uses as much as digits as its factorization.

57465022906368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 57465022906368 in words is "fifty-seven trillion, four hundred sixty-five billion, twenty-two million, nine hundred six thousand, three hundred sixty-eight".