84353634432 has 144 divisors (see below), whose sum is σ = 257855915850. Its totient is φ = 26463780864.

The previous prime is 84353634353. The next prime is 84353634433. The reversal of 84353634432 is 23443635348.

84353634432 is a `hidden beast` number, since 8 + 4 + 3 + 5 + 3 + 634 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 73146447936 + 11207186496 = 270456^2 + 105864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (84353634433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 206244 + ... + 459612.

Almost surely, 2^84353634432 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 84353634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128927957925).

84353634432 is an abundant number, since it is smaller than the sum of its proper divisors (173502281418).

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

84353634432 is a wasteful number, since it uses less digits than its factorization.

84353634432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253423 (or 253391 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 84353634432 in words is "eighty-four billion, three hundred fifty-three million, six hundred thirty-four thousand, four hundred thirty-two".