17155111948129 has 9 divisors (see below), whose sum is σ = 17415261697617. Its totient is φ = 16898792137524.

The previous prime is 17155111947889. The next prime is 17155111948147. The reversal of 17155111948129 is 92184911155171.

The square root of 17155111948129 is 4141873.

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

It is not a de Polignac number, because 17155111948129 - 2³¹ = 17152964464481 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17155111948129.

It is not an unprimeable number, because it can be changed into a prime (17155111948229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 277474582 + ... + 277536400.

It is an arithmetic number, because the mean of its divisors is an integer number (1935029077513).

Almost surely, 2^{17155111948129} is an apocalyptic number.

17155111948129 is the 4141873-rd square number.

17155111948129 is the 2070937-th centered octagonal number.

It is an amenable number.

17155111948129 is a deficient number, since it is larger than the sum of its proper divisors (260149749488).

17155111948129 is an frugal number, since it uses more digits than its factorization.

17155111948129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123772 (or 61886 counting only the distinct ones).

The product of its digits is 907200, while the sum is 55.

The spelling of 17155111948129 in words is "seventeen trillion, one hundred fifty-five billion, one hundred eleven million, nine hundred forty-eight thousand, one hundred twenty-nine".