33364106532 has 36 divisors (see below), whose sum is σ = 85928317020. Its totient is φ = 10911531072.

The previous prime is 33364106509. The next prime is 33364106537. The reversal of 33364106532 is 23560146333.

33364106532 is a `hidden beast` number, since 3 + 3 + 3 + 641 + 0 + 6 + 5 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9640097856 + 23724008676 = 98184^2 + 154026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33364106532² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33364106537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8741307 + ... + 8745122.

It is an arithmetic number, because the mean of its divisors is an integer number (2386897695).

Almost surely, 2^33364106532 is an apocalyptic number.

It is an amenable number.

33364106532 is an abundant number, since it is smaller than the sum of its proper divisors (52564210488).

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

33364106532 is a wasteful number, since it uses less digits than its factorization.

33364106532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17486492 (or 17486487 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 33364106532 in words is "thirty-three billion, three hundred sixty-four million, one hundred six thousand, five hundred thirty-two".