33164436032 has 56 divisors (see below), whose sum is σ = 80997771456. Its totient is φ = 13119994368.

The previous prime is 33164436031. The next prime is 33164436049. The reversal of 33164436032 is 23063446133.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 33164435983 and 33164436001.

It is not an unprimeable number, because it can be changed into a prime (33164436031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2841398 + ... + 2853045.

It is an arithmetic number, because the mean of its divisors is an integer number (1446388776).

Almost surely, 2^33164436032 is an apocalyptic number.

33164436032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33164436032 is an abundant number, since it is smaller than the sum of its proper divisors (47833335424).

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

33164436032 is a wasteful number, since it uses less digits than its factorization.

33164436032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694475 (or 5694465 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

The spelling of 33164436032 in words is "thirty-three billion, one hundred sixty-four million, four hundred thirty-six thousand, thirty-two".