164720090172 has 24 divisors (see below), whose sum is σ = 419287502592. Its totient is φ = 49915178800.

The previous prime is 164720090149. The next prime is 164720090177. The reversal of 164720090172 is 271090027461.

It is a self number, because there is not a number n which added to its sum of digits gives 164720090172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164720090177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623939604 + ... + 623939867.

It is an arithmetic number, because the mean of its divisors is an integer number (17470312608).

Almost surely, 2^164720090172 is an apocalyptic number.

164720090172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164720090172 is an abundant number, since it is smaller than the sum of its proper divisors (254567412420).

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

164720090172 is a wasteful number, since it uses less digits than its factorization.

164720090172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247879489 (or 1247879487 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 164720090172 in words is "one hundred sixty-four billion, seven hundred twenty million, ninety thousand, one hundred seventy-two".