164351592409 has 15 divisors (see below), whose sum is σ = 173636784933. Its totient is φ = 155562860772.

The previous prime is 164351592403. The next prime is 164351592443. The reversal of 164351592409 is 904295153461.

The square root of 164351592409 is 405403.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-164351592409 is a prime.

It is a super-2 number, since 2×164351592409² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164351592403) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 146349922 + ... + 146351044.

Almost surely, 2^164351592409 is an apocalyptic number.

164351592409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

164351592409 is the 405403-rd square number.

164351592409 is the 202702-nd centered octagonal number.

It is an amenable number.

164351592409 is a deficient number, since it is larger than the sum of its proper divisors (9285192524).

164351592409 is an frugal number, since it uses more digits than its factorization.

164351592409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 164351592409 by its sum of digits (49), we get a square (8053228028041 = 2837821²).

The spelling of 164351592409 in words is "one hundred sixty-four billion, three hundred fifty-one million, five hundred ninety-two thousand, four hundred nine".