33394638564 has 243 divisors, whose sum is σ = 104090905737. Its totient is φ = 8999678016.

The previous prime is 33394638527. The next prime is 33394638577. The reversal of 33394638564 is 46583649333.

It is a happy number.

The square root of 33394638564 is 182742.

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

33394638564 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 46 + 38 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31102144164 + 2292494400 = 176358^2 + 47880^2 .

It is a super-2 number, since 2×33394638564² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33394638564.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 145828002 + ... + 145828230.

Almost surely, 2^33394638564 is an apocalyptic number.

33394638564 is the 182742-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33394638564

33394638564 is an abundant number, since it is smaller than the sum of its proper divisors (70696267173).

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

33394638564 is a wasteful number, since it uses less digits than its factorization.

33394638564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 33394638564 in words is "thirty-three billion, three hundred ninety-four million, six hundred thirty-eight thousand, five hundred sixty-four".