14939734656 has 768 divisors, whose sum is σ = 55256256000. Its totient is φ = 3522355200.

The previous prime is 14939734639. The next prime is 14939734687. The reversal of 14939734656 is 65643793941.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 14939734596 and 14939734605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114043711 + ... + 114043841.

It is an arithmetic number, because the mean of its divisors is an integer number (71948250).

Almost surely, 2^14939734656 is an apocalyptic number.

14939734656 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 14939734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27628128000).

14939734656 is an abundant number, since it is smaller than the sum of its proper divisors (40316521344).

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

14939734656 is a wasteful number, since it uses less digits than its factorization.

14939734656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 57.

The spelling of 14939734656 in words is "fourteen billion, nine hundred thirty-nine million, seven hundred thirty-four thousand, six hundred fifty-six".