164766987225 has 27 divisors (see below), whose sum is σ = 295126887549. Its totient is φ = 87872479200.

The previous prime is 164766987181. The next prime is 164766987239. The reversal of 164766987225 is 522789667461.

The square root of 164766987225 is 405915.

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

164766987225 is a `hidden beast` number, since 1 + 6 + 476 + 6 + 98 + 72 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48425963481 + 116341023744 = 220059^2 + 341088^2 .

It is not a de Polignac number, because 164766987225 - 2¹⁹ = 164766462937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6075195 + ... + 6102255.

Almost surely, 2^164766987225 is an apocalyptic number.

164766987225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164766987225 is the 405915-th square number.

164766987225 is the 202958-th centered octagonal number.

It is an amenable number.

164766987225 is a deficient number, since it is larger than the sum of its proper divisors (130359900324).

164766987225 is an frugal number, since it uses more digits than its factorization.

164766987225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54138 (or 27069 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 164766987225 in words is "one hundred sixty-four billion, seven hundred sixty-six million, nine hundred eighty-seven thousand, two hundred twenty-five".