432413432006164 has 96 divisors (see below), whose sum is σ = 904256420659200. Its totient is φ = 176903863297920.

The previous prime is 432413432006131. The next prime is 432413432006183. The reversal of 432413432006164 is 461600234314234.

It is a self number, because there is not a number n which added to its sum of digits gives 432413432006164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632330949 + ... + 633014419.

It is an arithmetic number, because the mean of its divisors is an integer number (9419337715200).

Almost surely, 2^{432413432006164} 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 432413432006164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452128210329600).

432413432006164 is an abundant number, since it is smaller than the sum of its proper divisors (471842988653036).

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

432413432006164 is a wasteful number, since it uses less digits than its factorization.

432413432006164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685493 (or 685491 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 43.

The spelling of 432413432006164 in words is "four hundred thirty-two trillion, four hundred thirteen billion, four hundred thirty-two million, six thousand, one hundred sixty-four".