164805957369 has 45 divisors (see below), whose sum is σ = 252290655903. Its totient is φ = 107213204448.

The previous prime is 164805957367. The next prime is 164805957373. The reversal of 164805957369 is 963759508461.

The square root of 164805957369 is 405963.

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

164805957369 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 0 + 59 + 573 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149469611769 + 15336345600 = 386613^2 + 123840^2 .

It is not a de Polignac number, because 164805957369 - 2¹ = 164805957367 is a prime.

It is a super-2 number, since 2×164805957369² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164805957367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157107157 + ... + 157108205.

Almost surely, 2^164805957369 is an apocalyptic number.

164805957369 is the 405963-rd square number.

164805957369 is the 202982-nd centered octagonal number.

It is an amenable number.

164805957369 is a deficient number, since it is larger than the sum of its proper divisors (87484698534).

164805957369 is an frugal number, since it uses more digits than its factorization.

164805957369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 164805957369 in words is "one hundred sixty-four billion, eight hundred five million, nine hundred fifty-seven thousand, three hundred sixty-nine".