13814964288 has 112 divisors (see below), whose sum is σ = 40764683520. Its totient is φ = 4587840000.

The previous prime is 13814964253. The next prime is 13814964311. The reversal of 13814964288 is 88246941831.

It is a happy number.

13814964288 is a `hidden beast` number, since 1 + 38 + 1 + 496 + 42 + 88 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453538 + ... + 483038.

Almost surely, 2^13814964288 is an apocalyptic number.

13814964288 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 13814964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20382341760).

13814964288 is an abundant number, since it is smaller than the sum of its proper divisors (26949719232).

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

13814964288 is a wasteful number, since it uses less digits than its factorization.

13814964288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29793 (or 29777 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 13814964288 in words is "thirteen billion, eight hundred fourteen million, nine hundred sixty-four thousand, two hundred eighty-eight".