13908145920 has 432 divisors, whose sum is σ = 47847260160. Its totient is φ = 3441844224.

The previous prime is 13908145913. The next prime is 13908145957. The reversal of 13908145920 is 2954180931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109512897 + ... + 109513023.

Almost surely, 2^13908145920 is an apocalyptic number.

13908145920 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 13908145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923630080).

13908145920 is an abundant number, since it is smaller than the sum of its proper divisors (33939114240).

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

13908145920 is a wasteful number, since it uses less digits than its factorization.

13908145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 13908145920 in words is "thirteen billion, nine hundred eight million, one hundred forty-five thousand, nine hundred twenty".