14979993600 has 936 divisors, whose sum is σ = 60518515456. Its totient is φ = 3244032000.

The previous prime is 14979993521. The next prime is 14979993619. The reversal of 14979993600 is 639997941.

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, 483225585 + ... + 483225615.

Almost surely, 2^14979993600 is an apocalyptic number.

14979993600 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 14979993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30259257728).

14979993600 is an abundant number, since it is smaller than the sum of its proper divisors (45538521856).

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

14979993600 is a wasteful number, since it uses less digits than its factorization.

14979993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 57.

The spelling of 14979993600 in words is "fourteen billion, nine hundred seventy-nine million, nine hundred ninety-three thousand, six hundred".