33352842636864 has 147 divisors (see below), whose sum is σ = 99235138124577. Its totient is φ = 11117198398464.

The previous prime is 33352842636847. The next prime is 33352842636877. The reversal of 33352842636864 is 46863624825333.

The square root of 33352842636864 is 5775192.

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

33352842636864 is a `hidden beast` number, since 3 + 3 + 3 + 528 + 4 + 26 + 3 + 6 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22448264961600 + 10904577675264 = 4737960^2 + 3302208^2 .

It is a super-2 number, since 2×33352842636864² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1247428104 + ... + 1247454840.

Almost surely, 2^{33352842636864} is an apocalyptic number.

33352842636864 is the 5775192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33352842636864

33352842636864 is an abundant number, since it is smaller than the sum of its proper divisors (65882295487713).

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

33352842636864 is an frugal number, since it uses more digits than its factorization.

33352842636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53504 (or 26742 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 63.

The spelling of 33352842636864 in words is "thirty-three trillion, three hundred fifty-two billion, eight hundred forty-two million, six hundred thirty-six thousand, eight hundred sixty-four".