17148164401 has 9 divisors (see below), whose sum is σ = 18218581291. Its totient is φ = 16137353632.

The previous prime is 17148164393. The next prime is 17148164413. The reversal of 17148164401 is 10446184171.

The square root of 17148164401 is 130951.

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

It can be written as a sum of positive squares in only one way, i.e., 13350647025 + 3797517376 = 115545^2 + 61624^2 .

It is not a de Polignac number, because 17148164401 - 2³ = 17148164393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17148164431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2222316 + ... + 2230018.

Almost surely, 2^17148164401 is an apocalyptic number.

17148164401 is the 130951-st square number.

17148164401 is the 65476-th centered octagonal number.

It is an amenable number.

17148164401 is a deficient number, since it is larger than the sum of its proper divisors (1070416890).

17148164401 is an frugal number, since it uses more digits than its factorization.

17148164401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 17148164401 in words is "seventeen billion, one hundred forty-eight million, one hundred sixty-four thousand, four hundred one".