13908900096 has 729 divisors, whose sum is σ = 52454901681. Its totient is φ = 3668281344.

The previous prime is 13908900079. The next prime is 13908900113. The reversal of 13908900096 is 69000980931.

The square root of 13908900096 is 117936.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (13908900079) and next prime (13908900113).

It can be written as a sum of positive squares in only one way, i.e., 2057529600 + 11851370496 = 45360^2 + 108864^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1069915386 + ... + 1069915398.

Almost surely, 2^13908900096 is an apocalyptic number.

13908900096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13908900096 is the 117936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13908900096

13908900096 is an abundant number, since it is smaller than the sum of its proper divisors (38546001585).

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

13908900096 is an frugal number, since it uses more digits than its factorization.

13908900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

13908900096 divided by its product of nonzero digits (104976) gives a square (132496 = 364²).

The spelling of 13908900096 in words is "thirteen billion, nine hundred eight million, nine hundred thousand, ninety-six".