365945766424681 has 27 divisors (see below), whose sum is σ = 390960713001807. Its totient is φ = 342461580894720.

The previous prime is 365945766424621. The next prime is 365945766424691. The reversal of 365945766424681 is 186424667549563.

The square root of 365945766424681 is 19129709.

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

It can be written as a sum of positive squares in 13 ways, for example, as 233035765029081 + 132910001395600 = 15265509^2 + 11528660^2 .

It is not a de Polignac number, because 365945766424681 - 2²¹ = 365945764327529 is a prime.

It is a super-2 number, since 2×365945766424681² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 365945766424598 and 365945766424607.

It is not an unprimeable number, because it can be changed into a prime (365945766424621) 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, 58862111485 + ... + 58862117701.

Almost surely, 2^{365945766424681} is an apocalyptic number.

365945766424681 is the 19129709-th square number.

365945766424681 is the 9564855-th centered octagonal number.

It is an amenable number.

365945766424681 is a deficient number, since it is larger than the sum of its proper divisors (25014946577126).

365945766424681 is an frugal number, since it uses more digits than its factorization.

365945766424681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 6415 counting only the distinct ones).

The product of its digits is 6270566400, while the sum is 76.

The spelling of 365945766424681 in words is "three hundred sixty-five trillion, nine hundred forty-five billion, seven hundred sixty-six million, four hundred twenty-four thousand, six hundred eighty-one".