13979347200 has 1296 divisors, whose sum is σ = 64722524160. Its totient is φ = 2926264320.

The previous prime is 13979347189. The next prime is 13979347237. The reversal of 13979347200 is 274397931.

13979347200 is a `hidden beast` number, since 1 + 3 + 97 + 93 + 472 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 110073537 + ... + 110073663.

Almost surely, 2^13979347200 is an apocalyptic number.

13979347200 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 13979347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32361262080).

13979347200 is an abundant number, since it is smaller than the sum of its proper divisors (50743176960).

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

13979347200 is a wasteful number, since it uses less digits than its factorization.

13979347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 13979347200 in words is "thirteen billion, nine hundred seventy-nine million, three hundred forty-seven thousand, two hundred".