14879349605376 has 297 divisors, whose sum is σ = 44938730722431. Its totient is φ = 4741424861184.

The previous prime is 14879349605369. The next prime is 14879349605389. The reversal of 14879349605376 is 67350694397841.

The square root of 14879349605376 is 3857376.

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

14879349605376 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 9 + 3 + 4 + 9 + 605 + 3 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8517085335 + ... + 8517087081.

Almost surely, 2^{14879349605376} is an apocalyptic number.

14879349605376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14879349605376 is the 3857376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14879349605376

14879349605376 is an abundant number, since it is smaller than the sum of its proper divisors (30059381117055).

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

14879349605376 is an frugal number, since it uses more digits than its factorization.

14879349605376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 14879349605376 in words is "fourteen trillion, eight hundred seventy-nine billion, three hundred forty-nine million, six hundred five thousand, three hundred seventy-six".