33442083087868 has 384 divisors, whose sum is σ = 78666519859200. Its totient is φ = 12075455766528.

The previous prime is 33442083087859. The next prime is 33442083087871. The reversal of 33442083087868 is 86878038024433.

It is a happy number.

It is a super-2 number, since 2×33442083087868² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7863172830 + ... + 7863177082.

It is an arithmetic number, because the mean of its divisors is an integer number (204860728800).

Almost surely, 2^{33442083087868} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33442083087868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39333259929600).

33442083087868 is an abundant number, since it is smaller than the sum of its proper divisors (45224436771332).

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

33442083087868 is a wasteful number, since it uses less digits than its factorization.

33442083087868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 64.

The spelling of 33442083087868 in words is "thirty-three trillion, four hundred forty-two billion, eighty-three million, eighty-seven thousand, eight hundred sixty-eight".