432882445086 has 288 divisors, whose sum is σ = 1201871387808. Its totient is φ = 111576890880.

The previous prime is 432882445081. The next prime is 432882445117. The reversal of 432882445086 is 680544288234.

432882445086 is a `hidden beast` number, since 4 + 32 + 8 + 82 + 4 + 450 + 86 = 666.

It is a super-2 number, since 2×432882445086² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432882445081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114004540 + ... + 114008336.

It is an arithmetic number, because the mean of its divisors is an integer number (4173164541).

Almost surely, 2^432882445086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432882445086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600935693904).

432882445086 is an abundant number, since it is smaller than the sum of its proper divisors (768988942722).

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

432882445086 is a wasteful number, since it uses less digits than its factorization.

432882445086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 432882445086 in words is "four hundred thirty-two billion, eight hundred eighty-two million, four hundred forty-five thousand, eighty-six".