14713513682560 has 768 divisors, whose sum is σ = 45973204992000. Its totient is φ = 4450747392000.

The previous prime is 14713513682551. The next prime is 14713513682599. The reversal of 14713513682560 is 6528631531741.

It is a junction number, because it is equal to n+sod(n) for n = 14713513682498 and 14713513682507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607853985 + ... + 1607863135.

It is an arithmetic number, because the mean of its divisors is an integer number (59860944000).

Almost surely, 2^{14713513682560} is an apocalyptic number.

14713513682560 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 14713513682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22986602496000).

14713513682560 is an abundant number, since it is smaller than the sum of its proper divisors (31259691309440).

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

14713513682560 is a wasteful number, since it uses less digits than its factorization.

14713513682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9333 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 14713513682560 in words is "fourteen trillion, seven hundred thirteen billion, five hundred thirteen million, six hundred eighty-two thousand, five hundred sixty".