13908900096000 has 3888 divisors, whose sum is σ = 65575812704220. Its totient is φ = 2934625075200.

The previous prime is 13908900095969. The next prime is 13908900096017. The reversal of 13908900096000 is 69000980931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13908900096000 is a `hidden beast` number, since 1 + 39 + 0 + 8 + 9 + 0 + 0 + 0 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 608699556864 + 13300200539136 = 780192^2 + 3646944^2 .

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1069915391994 + ... + 1069915392006.

Almost surely, 2^{13908900096000} is an apocalyptic number.

13908900096000 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 13908900096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32787906352110).

13908900096000 is an abundant number, since it is smaller than the sum of its proper divisors (51666912608220).

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

13908900096000 is an frugal number, since it uses more digits than its factorization.

13908900096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 30 counting only the distinct ones).

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

The spelling of 13908900096000 in words is "thirteen trillion, nine hundred eight billion, nine hundred million, ninety-six thousand".