33522166944 has 864 divisors, whose sum is σ = 124886361600. Its totient is φ = 8465264640.

The previous prime is 33522166921. The next prime is 33522167011. The reversal of 33522166944 is 44966122533.

33522166944 is a `hidden beast` number, since 33 + 522 + 1 + 6 + 6 + 94 + 4 = 666.

It is a super-2 number, since 2×33522166944² (a number of 22 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 33522166944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 307542762 + ... + 307542870.

It is an arithmetic number, because the mean of its divisors is an integer number (144544400).

Almost surely, 2^33522166944 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 33522166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62443180800).

33522166944 is an abundant number, since it is smaller than the sum of its proper divisors (91364194656).

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

33522166944 is a wasteful number, since it uses less digits than its factorization.

33522166944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 33522166944 in words is "thirty-three billion, five hundred twenty-two million, one hundred sixty-six thousand, nine hundred forty-four".