172092602217649 has 27 divisors (see below), whose sum is σ = 184081871487297. Its totient is φ = 160851399904128.

The previous prime is 172092602217647. The next prime is 172092602217661. The reversal of 172092602217649 is 946712206290271.

The square root of 172092602217649 is 13118407.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3380247717025 + 168712354500624 = 1838545^2 + 12988932^2 .

It is not a de Polignac number, because 172092602217649 - 2¹ = 172092602217647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 172092602217593 and 172092602217602.

It is not an unprimeable number, because it can be changed into a prime (172092602217647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33228922342 + ... + 33228927520.

Almost surely, 2^{172092602217649} is an apocalyptic number.

172092602217649 is the 13118407-th square number.

172092602217649 is the 6559204-th centered octagonal number.

It is an amenable number.

172092602217649 is a deficient number, since it is larger than the sum of its proper divisors (11989269269648).

172092602217649 is an frugal number, since it uses more digits than its factorization.

172092602217649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 172092602217649 in words is "one hundred seventy-two trillion, ninety-two billion, six hundred two million, two hundred seventeen thousand, six hundred forty-nine".