13906464768 has 156 divisors (see below), whose sum is σ = 45908654688. Its totient is φ = 3973201920.

The previous prime is 13906464739. The next prime is 13906464773. The reversal of 13906464768 is 86746460931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231103 + ... + 284993.

It is an arithmetic number, because the mean of its divisors is an integer number (294286248).

Almost surely, 2^13906464768 is an apocalyptic number.

13906464768 is a gapful number since it is divisible by the number (18) 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 13906464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22954327344).

13906464768 is an abundant number, since it is smaller than the sum of its proper divisors (32002189920).

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

13906464768 is an equidigital number, since it uses as much as digits as its factorization.

13906464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53928 (or 53903 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13906464768 in words is "thirteen billion, nine hundred six million, four hundred sixty-four thousand, seven hundred sixty-eight".