164331638784 has 156 divisors (see below), whose sum is σ = 492261538496. Its totient is φ = 54776881152.

The previous prime is 164331638759. The next prime is 164331638797. The reversal of 164331638784 is 487836133461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 164331638784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912777 + ... + 1077879.

Almost surely, 2^164331638784 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 164331638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246130769248).

164331638784 is an abundant number, since it is smaller than the sum of its proper divisors (327929899712).

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

164331638784 is an frugal number, since it uses more digits than its factorization.

164331638784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165142 (or 165108 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 164331638784 in words is "one hundred sixty-four billion, three hundred thirty-one million, six hundred thirty-eight thousand, seven hundred eighty-four".