14696680704768 has 720 divisors, whose sum is σ = 45604424549376. Its totient is φ = 4704417792000.

The previous prime is 14696680704767. The next prime is 14696680704787. The reversal of 14696680704768 is 86740708669641.

14696680704768 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 6 + 6 + 80 + 70 + 476 + 8 = 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 = 14696680704696 and 14696680704705.

It is not an unprimeable number, because it can be changed into a prime (14696680704767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17857448805 + ... + 17857449627.

Almost surely, 2^{14696680704768} is an apocalyptic number.

14696680704768 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 14696680704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22802212274688).

14696680704768 is an abundant number, since it is smaller than the sum of its proper divisors (30907743844608).

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

14696680704768 is an equidigital number, since it uses as much as digits as its factorization.

14696680704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 14696680704768 in words is "fourteen trillion, six hundred ninety-six billion, six hundred eighty million, seven hundred four thousand, seven hundred sixty-eight".