165738186432 has 378 divisors, whose sum is σ = 598415496588. Its totient is φ = 43709912064.

The previous prime is 165738186421. The next prime is 165738186437. The reversal of 165738186432 is 234681837561.

165738186432 is a `hidden beast` number, since 1 + 6 + 57 + 3 + 81 + 86 + 432 = 666.

It is not an unprimeable number, because it can be changed into a prime (165738186437) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4752483 + ... + 4787229.

Almost surely, 2^165738186432 is an apocalyptic number.

165738186432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165738186432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299207748294).

165738186432 is an abundant number, since it is smaller than the sum of its proper divisors (432677310156).

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

165738186432 is a wasteful number, since it uses less digits than its factorization.

165738186432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34805 (or 34772 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 165738186432 in words is "one hundred sixty-five billion, seven hundred thirty-eight million, one hundred eighty-six thousand, four hundred thirty-two".