33772858119364 has 243 divisors, whose sum is σ = 76602545858727. Its totient is φ = 12984528106368.

The previous prime is 33772858119307. The next prime is 33772858119383. The reversal of 33772858119364 is 46391185827733.

The square root of 33772858119364 is 5811442.

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 140281709764 + 33632576409600 = 374542^2 + 5799360^2 .

It is a super-2 number, since 2×33772858119364² (a number of 28 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 33772858119364.

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, 39134249997 + ... + 39134250859.

Almost surely, 2^{33772858119364} is an apocalyptic number.

33772858119364 is the 5811442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33772858119364

33772858119364 is an abundant number, since it is smaller than the sum of its proper divisors (42829687739363).

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

33772858119364 is an equidigital number, since it uses as much as digits as its factorization.

33772858119364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 922 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 67.

The spelling of 33772858119364 in words is "thirty-three trillion, seven hundred seventy-two billion, eight hundred fifty-eight million, one hundred nineteen thousand, three hundred sixty-four".