13904680000 has 140 divisors (see below), whose sum is σ = 34725368700. Its totient is φ = 5522176000.

The previous prime is 13904679989. The next prime is 13904680021. The reversal of 13904680000 is 8640931.

It can be written as a sum of positive squares in 10 ways, for example, as 13337478144 + 567201856 = 115488^2 + 23816^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5958834 + ... + 5961166.

Almost surely, 2^13904680000 is an apocalyptic number.

13904680000 is a gapful number since it is divisible by the number (10) 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 13904680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362684350).

13904680000 is an abundant number, since it is smaller than the sum of its proper divisors (20820688700).

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

13904680000 is an equidigital number, since it uses as much as digits as its factorization.

13904680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 13904680000 in words is "thirteen billion, nine hundred four million, six hundred eighty thousand".