164841333293025 has 27 divisors (see below), whose sum is σ = 295249488574521. Its totient is φ = 87915275043840.

The previous prime is 164841333292973. The next prime is 164841333293047. The reversal of 164841333293025 is 520392333148461.

The square root of 164841333293025 is 12839055.

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

164841333293025 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 4 + 1 + 3 + 3 + 329 + 302 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2976070066641 + 161865263226384 = 1725129^2 + 12722628^2 .

It is not a de Polignac number, because 164841333293025 - 2³¹ = 164839185809377 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, 192157857 + ... + 193013793.

Almost surely, 2^{164841333293025} is an apocalyptic number.

164841333293025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164841333293025 is the 12839055-th square number.

164841333293025 is the 6419528-th centered octagonal number.

It is an amenable number.

164841333293025 is a deficient number, since it is larger than the sum of its proper divisors (130408155281496).

164841333293025 is an frugal number, since it uses more digits than its factorization.

164841333293025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711890 (or 855945 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 164841333293025 in words is "one hundred sixty-four trillion, eight hundred forty-one billion, three hundred thirty-three million, two hundred ninety-three thousand, twenty-five".