14479804977960 has 768 divisors, whose sum is σ = 55216069632000. Its totient is φ = 3017251399680.

The previous prime is 14479804977901. The next prime is 14479804977971. The reversal of 14479804977960 is 6977940897441.

14479804977960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 619922602 + ... + 619945958.

It is an arithmetic number, because the mean of its divisors is an integer number (71895924000).

Almost surely, 2^{14479804977960} is an apocalyptic number.

14479804977960 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 14479804977960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27608034816000).

14479804977960 is an abundant number, since it is smaller than the sum of its proper divisors (40736264654040).

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

14479804977960 is a wasteful number, since it uses less digits than its factorization.

14479804977960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23614 (or 23603 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 75.

The spelling of 14479804977960 in words is "fourteen trillion, four hundred seventy-nine billion, eight hundred four million, nine hundred seventy-seven thousand, nine hundred sixty".