14980716672768 has 1296 divisors, whose sum is σ = 57947537356800. Its totient is φ = 3635302809600.

The previous prime is 14980716672743. The next prime is 14980716672791. The reversal of 14980716672768 is 86727661708941.

14980716672768 is a `hidden beast` number, since 1 + 498 + 0 + 7 + 1 + 6 + 6 + 72 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 14980716672696 and 14980716672705.

It is a congruent number.

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, 1754383443 + ... + 1754391981.

Almost surely, 2^{14980716672768} is an apocalyptic number.

14980716672768 is a gapful number since it is divisible by the number (18) 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 14980716672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28973768678400).

14980716672768 is an abundant number, since it is smaller than the sum of its proper divisors (42966820684032).

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

14980716672768 is a wasteful number, since it uses less digits than its factorization.

14980716672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8650 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 14980716672768 in words is "fourteen trillion, nine hundred eighty billion, seven hundred sixteen million, six hundred seventy-two thousand, seven hundred sixty-eight".