13463888256 has 512 divisors, whose sum is σ = 50521497600. Its totient is φ = 3433881600.

The previous prime is 13463888171. The next prime is 13463888257. The reversal of 13463888256 is 65288836431.

13463888256 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 388 + 8 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13463888257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9748686 + ... + 9750066.

It is an arithmetic number, because the mean of its divisors is an integer number (98674800).

Almost surely, 2^13463888256 is an apocalyptic number.

13463888256 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 13463888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260748800).

13463888256 is an abundant number, since it is smaller than the sum of its proper divisors (37057609344).

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

13463888256 is a wasteful number, since it uses less digits than its factorization.

13463888256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1437 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 13463888256 in words is "thirteen billion, four hundred sixty-three million, eight hundred eighty-eight thousand, two hundred fifty-six".