33193924864 has 81 divisors (see below), whose sum is σ = 67751273793. Its totient is φ = 16231120896.

The previous prime is 33193924853. The next prime is 33193924903. The reversal of 33193924864 is 46842939133.

It is a happy number.

The square root of 33193924864 is 182192.

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

It can be written as a sum of positive squares in only one way, i.e., 8042502400 + 25151422464 = 89680^2 + 158592^2 .

It is a super-2 number, since 2×33193924864² (a number of 22 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, 171989152 + ... + 171989344.

Almost surely, 2^33193924864 is an apocalyptic number.

33193924864 is the 182192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33193924864

33193924864 is an abundant number, since it is smaller than the sum of its proper divisors (34557348929).

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

33193924864 is an frugal number, since it uses more digits than its factorization.

33193924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 254 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 52.

The spelling of 33193924864 in words is "thirty-three billion, one hundred ninety-three million, nine hundred twenty-four thousand, eight hundred sixty-four".