164896802676225 has 27 divisors (see below), whose sum is σ = 295348840461129. Its totient is φ = 87944858697600.

The previous prime is 164896802676217. The next prime is 164896802676239. The reversal of 164896802676225 is 522676208698461.

The square root of 164896802676225 is 12841215.

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

164896802676225 is a `hidden beast` number, since 1 + 6 + 4 + 89 + 68 + 0 + 267 + 6 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30855703053681 + 134041099622544 = 5554791^2 + 11577612^2 .

It is not a de Polignac number, because 164896802676225 - 2³ = 164896802676217 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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, 192190185 + ... + 193046265.

Almost surely, 2^{164896802676225} is an apocalyptic number.

164896802676225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164896802676225 is the 12841215-th square number.

164896802676225 is the 6420608-th centered octagonal number.

It is an amenable number.

164896802676225 is a deficient number, since it is larger than the sum of its proper divisors (130452037784904).

164896802676225 is an frugal number, since it uses more digits than its factorization.

164896802676225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712178 (or 856089 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 164896802676225 in words is "one hundred sixty-four trillion, eight hundred ninety-six billion, eight hundred two million, six hundred seventy-six thousand, two hundred twenty-five".