168192672769 has 27 divisors (see below), whose sum is σ = 193379664387. Its totient is φ = 146164273200.

The previous prime is 168192672749. The next prime is 168192672779. The reversal of 168192672769 is 967276291861.

The square root of 168192672769 is 410113.

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., 129249597169 + 38943075600 = 359513^2 + 197340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-168192672769 is a prime.

It is a super-2 number, since 2×168192672769² (a number of 23 digits) contains 22 as substring.

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 168192672769.

It is not an unprimeable number, because it can be changed into a prime (168192672719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103757779 + ... + 103759399.

Almost surely, 2^168192672769 is an apocalyptic number.

168192672769 is the 410113-rd square number.

168192672769 is the 205057-th centered octagonal number.

It is an amenable number.

168192672769 is a deficient number, since it is larger than the sum of its proper divisors (25186991618).

168192672769 is an frugal number, since it uses more digits than its factorization.

168192672769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 1655 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 64.

Multiplying 168192672769 by its sum of digits (64), we get a square (10764331057216 = 3280904²).

The spelling of 168192672769 in words is "one hundred sixty-eight billion, one hundred ninety-two million, six hundred seventy-two thousand, seven hundred sixty-nine".