13939311456 has 288 divisors, whose sum is σ = 46884801600. Its totient is φ = 3926071296.

The previous prime is 13939311433. The next prime is 13939311457. The reversal of 13939311456 is 65411393931.

13939311456 is a `hidden beast` number, since 13 + 93 + 93 + 11 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13939311457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7210266 + ... + 7212198.

It is an arithmetic number, because the mean of its divisors is an integer number (162794450).

Almost surely, 2^13939311456 is an apocalyptic number.

13939311456 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 13939311456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442400800).

13939311456 is an abundant number, since it is smaller than the sum of its proper divisors (32945490144).

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

13939311456 is a wasteful number, since it uses less digits than its factorization.

13939311456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2018 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 13939311456 in words is "thirteen billion, nine hundred thirty-nine million, three hundred eleven thousand, four hundred fifty-six".