14560748256 has 96 divisors (see below), whose sum is σ = 38508196608. Its totient is φ = 4817387520.

The previous prime is 14560748221. The next prime is 14560748261. The reversal of 14560748256 is 65284706541.

14560748256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8165541 + ... + 8167323.

It is an arithmetic number, because the mean of its divisors is an integer number (401127048).

Almost surely, 2^14560748256 is an apocalyptic number.

14560748256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14560748256 is an abundant number, since it is smaller than the sum of its proper divisors (23947448352).

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

14560748256 is a wasteful number, since it uses less digits than its factorization.

14560748256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 14560748256 in words is "fourteen billion, five hundred sixty million, seven hundred forty-eight thousand, two hundred fifty-six".