164172137472 has 264 divisors, whose sum is σ = 561835275456. Its totient is φ = 46905827328.

The previous prime is 164172137471. The next prime is 164172137497. The reversal of 164172137472 is 274731271461.

164172137472 is a `hidden beast` number, since 1 + 6 + 4 + 172 + 1 + 3 + 7 + 472 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (164172137471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1694698 + ... + 1788950.

Almost surely, 2^164172137472 is an apocalyptic number.

164172137472 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 164172137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280917637728).

164172137472 is an abundant number, since it is smaller than the sum of its proper divisors (397663137984).

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

164172137472 is an frugal number, since it uses more digits than its factorization.

164172137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94295 (or 94265 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 164172137472 in words is "one hundred sixty-four billion, one hundred seventy-two million, one hundred thirty-seven thousand, four hundred seventy-two".