193352167542769 has 27 divisors (see below), whose sum is σ = 199076731420203. Its totient is φ = 187791109605792.

The previous prime is 193352167542757. The next prime is 193352167542803. The reversal of 193352167542769 is 967245761253391.

The square root of 193352167542769 is 13905113.

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., 109756109367025 + 83596058175744 = 10476455^2 + 9143088^2 .

It is not a de Polignac number, because 193352167542769 - 2¹⁹ = 193352167018481 is a prime.

It is a super-2 number, since 2×193352167542769² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 193352167542698 and 193352167542707.

It is not an unprimeable number, because it can be changed into a prime (193352167642769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68009906262 + ... + 68009909104.

Almost surely, 2^{193352167542769} is an apocalyptic number.

193352167542769 is the 13905113-rd square number.

193352167542769 is the 6952557-th centered octagonal number.

It is an amenable number.

193352167542769 is a deficient number, since it is larger than the sum of its proper divisors (5724563877434).

193352167542769 is an frugal number, since it uses more digits than its factorization.

193352167542769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 2983 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 70.

The spelling of 193352167542769 in words is "one hundred ninety-three trillion, three hundred fifty-two billion, one hundred sixty-seven million, five hundred forty-two thousand, seven hundred sixty-nine".