33282894096 has 135 divisors (see below), whose sum is σ = 97519309797. Its totient is φ = 10595882880.

The previous prime is 33282894061. The next prime is 33282894131. The reversal of 33282894096 is 69049828233.

It is a happy number.

The square root of 33282894096 is 182436.

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

It is an interprime number because it is at equal distance from previous prime (33282894061) and next prime (33282894131).

It can be written as a sum of positive squares in only one way, i.e., 26427054096 + 6855840000 = 162564^2 + 82800^2 .

It is a super-2 number, since 2×33282894096² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50352006 + ... + 50352666.

Almost surely, 2^33282894096 is an apocalyptic number.

33282894096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33282894096 is the 182436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33282894096

33282894096 is an abundant number, since it is smaller than the sum of its proper divisors (64236415701).

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

33282894096 is an equidigital number, since it uses as much as digits as its factorization.

33282894096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 33282894096 in words is "thirty-three billion, two hundred eighty-two million, eight hundred ninety-four thousand, ninety-six".