13904864000 has 288 divisors, whose sum is σ = 36365801472. Its totient is φ = 5291520000.

The previous prime is 13904863979. The next prime is 13904864063. The reversal of 13904864000 is 46840931.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106143935 + ... + 106144065.

It is an arithmetic number, because the mean of its divisors is an integer number (126270144).

Almost surely, 2^13904864000 is an apocalyptic number.

13904864000 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 13904864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182900736).

13904864000 is an abundant number, since it is smaller than the sum of its proper divisors (22460937472).

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

13904864000 is a wasteful number, since it uses less digits than its factorization.

13904864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 13904864000 in words is "thirteen billion, nine hundred four million, eight hundred sixty-four thousand".