14979069516992 has 112 divisors (see below), whose sum is σ = 34604207956800. Its totient is φ = 6300293529600.

The previous prime is 14979069516977. The next prime is 14979069516997. The reversal of 14979069516992 is 29961596097941.

14979069516992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (14979069516997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11659892 + ... + 12880652.

Almost surely, 2^{14979069516992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14979069516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302103978400).

14979069516992 is an abundant number, since it is smaller than the sum of its proper divisors (19625138439808).

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

14979069516992 is a wasteful number, since it uses less digits than its factorization.

14979069516992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221290 (or 1221280 counting only the distinct ones).

The product of its (nonzero) digits is 595213920, while the sum is 77.

The spelling of 14979069516992 in words is "fourteen trillion, nine hundred seventy-nine billion, sixty-nine million, five hundred sixteen thousand, nine hundred ninety-two".