13979446200 has 288 divisors, whose sum is σ = 48509432400. Its totient is φ = 3605575680.

The previous prime is 13979446183. The next prime is 13979446211. The reversal of 13979446200 is 264497931.

It is a happy number.

13979446200 is a `hidden beast` number, since 13 + 9 + 7 + 9 + 4 + 4 + 620 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8435772 + ... + 8437428.

Almost surely, 2^13979446200 is an apocalyptic number.

13979446200 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 13979446200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24254716200).

13979446200 is an abundant number, since it is smaller than the sum of its proper divisors (34529986200).

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

13979446200 is a wasteful number, since it uses less digits than its factorization.

13979446200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13979446200 in words is "thirteen billion, nine hundred seventy-nine million, four hundred forty-six thousand, two hundred".