168972789969 has 27 divisors (see below), whose sum is σ = 247592966673. Its totient is φ = 111046203072.

The previous prime is 168972789959. The next prime is 168972789983. The reversal of 168972789969 is 969987279861.

The square root of 168972789969 is 411063.

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 6354162369 + 162618627600 = 79713^2 + 403260^2 .

It is not a de Polignac number, because 168972789969 - 2²⁵ = 168939235537 is a prime.

It is a super-2 number, since 2×168972789969² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168972789959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90021859 + ... + 90023735.

Almost surely, 2^168972789969 is an apocalyptic number.

168972789969 is the 411063-rd square number.

168972789969 is the 205532-nd centered octagonal number.

It is an amenable number.

168972789969 is a deficient number, since it is larger than the sum of its proper divisors (78620176704).

168972789969 is an frugal number, since it uses more digits than its factorization.

168972789969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 1953 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 81.

Multiplying 168972789969 by its sum of digits (81), we get a square (13686795987489 = 3699567²).

The spelling of 168972789969 in words is "one hundred sixty-eight billion, nine hundred seventy-two million, seven hundred eighty-nine thousand, nine hundred sixty-nine".