13930469164800 has 864 divisors, whose sum is σ = 51913380039360. Its totient is φ = 3700350812160.

The previous prime is 13930469164757. The next prime is 13930469164819. The reversal of 13930469164800 is 846196403931.

13930469164800 is a `hidden beast` number, since 1 + 3 + 9 + 30 + 46 + 91 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3877111804 + ... + 3877115396.

Almost surely, 2^{13930469164800} is an apocalyptic number.

13930469164800 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 13930469164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25956690019680).

13930469164800 is an abundant number, since it is smaller than the sum of its proper divisors (37982910874560).

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

13930469164800 is an frugal number, since it uses more digits than its factorization.

13930469164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13930469164800 in words is "thirteen trillion, nine hundred thirty billion, four hundred sixty-nine million, one hundred sixty-four thousand, eight hundred".