13999104000 has 1008 divisors, whose sum is σ = 60601896576. Its totient is φ = 3096576000.

The previous prime is 13999103999. The next prime is 13999104011. The reversal of 13999104000 is 40199931.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451583985 + ... + 451584015.

Almost surely, 2^13999104000 is an apocalyptic number.

13999104000 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 13999104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30300948288).

13999104000 is an abundant number, since it is smaller than the sum of its proper divisors (46602792576).

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

13999104000 is an equidigital number, since it uses as much as digits as its factorization.

13999104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 13999104000 in words is "thirteen billion, nine hundred ninety-nine million, one hundred four thousand".