63113250816 has 864 divisors, whose sum is σ = 239859023040. Its totient is φ = 16124313600.

The previous prime is 63113250803. The next prime is 63113250833. The reversal of 63113250816 is 61805231136.

63113250816 is a `hidden beast` number, since 6 + 3 + 1 + 132 + 508 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

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, 1034643426 + ... + 1034643486.

It is an arithmetic number, because the mean of its divisors is an integer number (277614610).

Almost surely, 2^63113250816 is an apocalyptic number.

63113250816 is a gapful number since it is divisible by the number (66) 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 63113250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119929511520).

63113250816 is an abundant number, since it is smaller than the sum of its proper divisors (176745772224).

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

63113250816 is an frugal number, since it uses more digits than its factorization.

63113250816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 63113250816 in words is "sixty-three billion, one hundred thirteen million, two hundred fifty thousand, eight hundred sixteen".