93827565450369 has 27 divisors (see below), whose sum is σ = 135736756904073. Its totient is φ = 62455833689472.

The previous prime is 93827565450331. The next prime is 93827565450371. The reversal of 93827565450369 is 96305456572839.

The square root of 93827565450369 is 9686463.

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

93827565450369 is a `hidden beast` number, since 9 + 3 + 8 + 2 + 7 + 5 + 6 + 54 + 503 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55843833969 + 93771721616400 = 236313^2 + 9683580^2 .

It is not a de Polignac number, because 93827565450369 - 2²³ = 93827557061761 is a prime.

It is a super-2 number, since 2×93827565450369² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93827565450297 and 93827565450306.

It is not an unprimeable number, because it can be changed into a prime (93827565457369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22462905609 + ... + 22462909785.

Almost surely, 2^{93827565450369} is an apocalyptic number.

93827565450369 is the 9686463-rd square number.

93827565450369 is the 4843232-nd centered octagonal number.

It is an amenable number.

93827565450369 is a deficient number, since it is larger than the sum of its proper divisors (41909191453704).

93827565450369 is an frugal number, since it uses more digits than its factorization.

93827565450369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 93827565450369 in words is "ninety-three trillion, eight hundred twenty-seven billion, five hundred sixty-five million, four hundred fifty thousand, three hundred sixty-nine".