14679043592976 has 405 divisors, whose sum is σ = 50783370509781. Its totient is φ = 3945834611712.

The previous prime is 14679043592963. The next prime is 14679043593013. The reversal of 14679043592976 is 67929534097641.

The square root of 14679043592976 is 3831324.

It is a perfect power (a square), and thus also a powerful number.

14679043592976 is a `hidden beast` number, since 1 + 467 + 9 + 0 + 4 + 3 + 5 + 92 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11428321136400 + 3250722456576 = 3380580^2 + 1802976^2 .

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

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 5471129331 + ... + 5471132013.

Almost surely, 2^{14679043592976} is an apocalyptic number.

14679043592976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14679043592976 is the 3831324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14679043592976

14679043592976 is an abundant number, since it is smaller than the sum of its proper divisors (36104326916805).

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

14679043592976 is an equidigital number, since it uses as much as digits as its factorization.

14679043592976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 14679043592976 in words is "fourteen trillion, six hundred seventy-nine billion, forty-three million, five hundred ninety-two thousand, nine hundred seventy-six".