14796138431760 has 320 divisors, whose sum is σ = 52711844511744. Its totient is φ = 3363196262400.

The previous prime is 14796138431759. The next prime is 14796138431771. The reversal of 14796138431760 is 6713483169741.

It is a happy number.

14796138431760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 14796138431694 and 14796138431703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1459036290 + ... + 1459046430.

Almost surely, 2^{14796138431760} is an apocalyptic number.

14796138431760 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 14796138431760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26355922255872).

14796138431760 is an abundant number, since it is smaller than the sum of its proper divisors (37915706079984).

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

14796138431760 is a wasteful number, since it uses less digits than its factorization.

14796138431760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14902 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 14796138431760 in words is "fourteen trillion, seven hundred ninety-six billion, one hundred thirty-eight million, four hundred thirty-one thousand, seven hundred sixty".