13913948160 has 432 divisors, whose sum is σ = 55289104416. Its totient is φ = 3170893824.

The previous prime is 13913948131. The next prime is 13913948179. The reversal of 13913948160 is 6184931931.

13913948160 is a `hidden beast` number, since 1 + 39 + 139 + 481 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41287512 + ... + 41287848.

It is an arithmetic number, because the mean of its divisors is an integer number (127984038).

Almost surely, 2^13913948160 is an apocalyptic number.

13913948160 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 13913948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27644552208).

13913948160 is an abundant number, since it is smaller than the sum of its proper divisors (41375156256).

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

13913948160 is an frugal number, since it uses more digits than its factorization.

13913948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13913948160 in words is "thirteen billion, nine hundred thirteen million, nine hundred forty-eight thousand, one hundred sixty".