33364412434332 has 288 divisors, whose sum is σ = 99227689666560. Its totient is φ = 9256553349120.

The previous prime is 33364412434307. The next prime is 33364412434337. The reversal of 33364412434332 is 23343421446333.

33364412434332 is a `hidden beast` number, since 3 + 3 + 36 + 4 + 41 + 243 + 4 + 332 = 666.

It is a super-2 number, since 2×33364412434332² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33364412434337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409202953 + ... + 409284479.

It is an arithmetic number, because the mean of its divisors is an integer number (344540589120).

Almost surely, 2^{33364412434332} 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 33364412434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49613844833280).

33364412434332 is an abundant number, since it is smaller than the sum of its proper divisors (65863277232228).

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

33364412434332 is a wasteful number, since it uses less digits than its factorization.

33364412434332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81961 (or 81956 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 45.

The spelling of 33364412434332 in words is "thirty-three trillion, three hundred sixty-four billion, four hundred twelve million, four hundred thirty-four thousand, three hundred thirty-two".