33456368085904 has 45 divisors (see below), whose sum is σ = 68859861237811. Its totient is φ = 15743988124160.

The previous prime is 33456368085869. The next prime is 33456368085913. The reversal of 33456368085904 is 40958086365433.

The square root of 33456368085904 is 5784148.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19474392480400 + 13981975605504 = 4412980^2 + 3739248^2 .

It is a super-2 number, since 2×33456368085904² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

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, 393279534 + ... + 393364594.

Almost surely, 2^{33456368085904} is an apocalyptic number.

33456368085904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

33456368085904 is the 5784148-th square number.

It is an amenable number.

33456368085904 is an abundant number, since it is smaller than the sum of its proper divisors (35403493151907).

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

33456368085904 is an frugal number, since it uses more digits than its factorization.

33456368085904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170164 (or 85080 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 64.

The spelling of 33456368085904 in words is "thirty-three trillion, four hundred fifty-six billion, three hundred sixty-eight million, eighty-five thousand, nine hundred four".