164756841172 has 96 divisors (see below), whose sum is σ = 371679952896. Its totient is φ = 62017401600.

The previous prime is 164756841169. The next prime is 164756841173. The reversal of 164756841172 is 271148657461.

It is a super-3 number, since 3×164756841172³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164756841173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5877133 + ... + 5905099.

It is an arithmetic number, because the mean of its divisors is an integer number (3871666176).

Almost surely, 2^164756841172 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 164756841172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185839976448).

164756841172 is an abundant number, since it is smaller than the sum of its proper divisors (206923111724).

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

164756841172 is a wasteful number, since it uses less digits than its factorization.

164756841172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28637 (or 28635 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The spelling of 164756841172 in words is "one hundred sixty-four billion, seven hundred fifty-six million, eight hundred forty-one thousand, one hundred seventy-two".