10014973056 has 256 divisors, whose sum is σ = 32507481600. Its totient is φ = 3010176000.

The previous prime is 10014973019. The next prime is 10014973201. The reversal of 10014973056 is 65037941001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10014973056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4979091 + ... + 4981101.

It is an arithmetic number, because the mean of its divisors is an integer number (126982350).

Almost surely, 2^10014973056 is an apocalyptic number.

10014973056 is a gapful number since it is divisible by the number (16) 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 10014973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253740800).

10014973056 is an abundant number, since it is smaller than the sum of its proper divisors (22492508544).

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

10014973056 is a wasteful number, since it uses less digits than its factorization.

10014973056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10014973056 in words is "ten billion, fourteen million, nine hundred seventy-three thousand, fifty-six".