13385264256 has 384 divisors, whose sum is σ = 49172323200. Its totient is φ = 3529433088.

The previous prime is 13385264237. The next prime is 13385264287. The reversal of 13385264256 is 65246258331.

13385264256 is a `hidden beast` number, since 1 + 3 + 38 + 526 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828100 + ... + 2832828.

It is an arithmetic number, because the mean of its divisors is an integer number (128052925).

Almost surely, 2^13385264256 is an apocalyptic number.

13385264256 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 13385264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586161600).

13385264256 is an abundant number, since it is smaller than the sum of its proper divisors (35787058944).

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

13385264256 is an equidigital number, since it uses as much as digits as its factorization.

13385264256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4754 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 13385264256 in words is "thirteen billion, three hundred eighty-five million, two hundred sixty-four thousand, two hundred fifty-six".