164080894761 has 27 divisors (see below), whose sum is σ = 275714844951. Its totient is φ = 93755650464.

The previous prime is 164080894741. The next prime is 164080894777. The reversal of 164080894761 is 167498080461.

The square root of 164080894761 is 405069.

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

164080894761 is a `hidden beast` number, since 16 + 4 + 0 + 80 + 89 + 476 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114155461161 + 49925433600 = 337869^2 + 223440^2 .

It is not a de Polignac number, because 164080894761 - 2¹⁷ = 164080763689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164080894698 and 164080894707.

It is not an unprimeable number, because it can be changed into a prime (164080894711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8496805 + ... + 8516093.

Almost surely, 2^164080894761 is an apocalyptic number.

164080894761 is the 405069-th square number.

164080894761 is the 202535-th centered octagonal number.

It is an amenable number.

164080894761 is a deficient number, since it is larger than the sum of its proper divisors (111633950190).

164080894761 is an frugal number, since it uses more digits than its factorization.

164080894761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38598 (or 19299 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 164080 and 894761, that added together give a square (1058841 = 1029²).

The spelling of 164080894761 in words is "one hundred sixty-four billion, eighty million, eight hundred ninety-four thousand, seven hundred sixty-one".