13917732864 has 240 divisors, whose sum is σ = 44667974400. Its totient is φ = 3765436416.

The previous prime is 13917732863. The next prime is 13917732911. The reversal of 13917732864 is 46823771931.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13917732863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6536152 + ... + 6538280.

It is an arithmetic number, because the mean of its divisors is an integer number (186116560).

Almost surely, 2^13917732864 is an apocalyptic number.

13917732864 is a gapful number since it is divisible by the number (14) 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 13917732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22333987200).

13917732864 is an abundant number, since it is smaller than the sum of its proper divisors (30750241536).

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

13917732864 is an equidigital number, since it uses as much as digits as its factorization.

13917732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2160 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The spelling of 13917732864 in words is "thirteen billion, nine hundred seventeen million, seven hundred thirty-two thousand, eight hundred sixty-four".