63122810350464 has 416 divisors, whose sum is σ = 189154060907040. Its totient is φ = 20982367733760.

The previous prime is 63122810350459. The next prime is 63122810350571. The reversal of 63122810350464 is 46405301822136.

63122810350464 is a `hidden beast` number, since 6 + 3 + 1 + 2 + 2 + 81 + 0 + 3 + 504 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 29318536012 + ... + 29318538164.

Almost surely, 2^{63122810350464} is an apocalyptic number.

63122810350464 is a gapful number since it is divisible by the number (64) 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 63122810350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94577030453520).

63122810350464 is an abundant number, since it is smaller than the sum of its proper divisors (126031250556576).

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

63122810350464 is an frugal number, since it uses more digits than its factorization.

63122810350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 63122810350464 in words is "sixty-three trillion, one hundred twenty-two billion, eight hundred ten million, three hundred fifty thousand, four hundred sixty-four".