33079729244004 has 81 divisors (see below), whose sum is σ = 84057958248537. Its totient is φ = 10968888889728.

The previous prime is 33079729243987. The next prime is 33079729244017. The reversal of 33079729244004 is 40044292797033.

The square root of 33079729244004 is 5751498.

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

33079729244004 is a `hidden beast` number, since 3 + 307 + 9 + 7 + 292 + 4 + 40 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3018107052900 + 30061622191104 = 1737270^2 + 5482848^2 .

It is a super-2 number, since 2×33079729244004² (a number of 28 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 6867286204 + ... + 6867291020.

Almost surely, 2^{33079729244004} is an apocalyptic number.

33079729244004 is the 5751498-th square number.

It is an amenable number.

33079729244004 is an abundant number, since it is smaller than the sum of its proper divisors (50978229004533).

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

33079729244004 is an frugal number, since it uses more digits than its factorization.

33079729244004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 33079729244004 in words is "thirty-three trillion, seventy-nine billion, seven hundred twenty-nine million, two hundred forty-four thousand, four".