33957222408 has 252 divisors, whose sum is σ = 101549269215. Its totient is φ = 10638897696.

The previous prime is 33957222367. The next prime is 33957222419. The reversal of 33957222408 is 80422275933.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

33957222408 is a `hidden beast` number, since 3 + 39 + 572 + 2 + 2 + 40 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16978611204 + 16978611204 = 130302^2 + 130302^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=130302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 267379641 + ... + 267379767.

Almost surely, 2^33957222408 is an apocalyptic number.

33957222408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33957222408

33957222408 is an abundant number, since it is smaller than the sum of its proper divisors (67592046807).

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

33957222408 is an equidigital number, since it uses as much as digits as its factorization.

33957222408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 33957222408 in words is "thirty-three billion, nine hundred fifty-seven million, two hundred twenty-two thousand, four hundred eight".