33792038600464 has 45 divisors (see below), whose sum is σ = 65595070472967. Its totient is φ = 16864337948832.

The previous prime is 33792038600417. The next prime is 33792038600473. The reversal of 33792038600464 is 46400683029733.

It is a happy number.

The square root of 33792038600464 is 5813092.

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

It is a super-2 number, since 2×33792038600464² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16904470537 + ... + 16904472535.

Almost surely, 2^{33792038600464} is an apocalyptic number.

33792038600464 is the 5813092-nd square number.

It is an amenable number.

33792038600464 is a deficient number, since it is larger than the sum of its proper divisors (31803031872503).

33792038600464 is an frugal number, since it uses more digits than its factorization.

33792038600464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 55.

The spelling of 33792038600464 in words is "thirty-three trillion, seven hundred ninety-two billion, thirty-eight million, six hundred thousand, four hundred sixty-four".