13249976256 has 504 divisors, whose sum is σ = 45248151312. Its totient is φ = 3690086400.

The previous prime is 13249976177. The next prime is 13249976261. The reversal of 13249976256 is 65267994231.

13249976256 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 9 + 9 + 7 + 625 + 6 = 666.

It is a congruent number.

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, 62795991 + ... + 62796201.

It is an arithmetic number, because the mean of its divisors is an integer number (89778078).

Almost surely, 2^13249976256 is an apocalyptic number.

13249976256 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 13249976256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22624075656).

13249976256 is an abundant number, since it is smaller than the sum of its proper divisors (31998175056).

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

13249976256 is a wasteful number, since it uses less digits than its factorization.

13249976256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 13249976256 in words is "thirteen billion, two hundred forty-nine million, nine hundred seventy-six thousand, two hundred fifty-six".