365929416241 has 9 divisors (see below), whose sum is σ = 368370628641. Its totient is φ = 363504287952.

The previous prime is 365929416161. The next prime is 365929416247. The reversal of 365929416241 is 142614929563.

It is a happy number.

The square root of 365929416241 is 604921.

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 76657550641 + 289271865600 = 276871^2 + 537840^2 .

It is not a de Polignac number, because 365929416241 - 2⁹ = 365929415729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (365929416247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94970671 + ... + 94974523.

It is an arithmetic number, because the mean of its divisors is an integer number (40930069849).

Almost surely, 2^365929416241 is an apocalyptic number.

365929416241 is the 604921-st square number.

365929416241 is the 302461-st centered octagonal number.

It is an amenable number.

365929416241 is a deficient number, since it is larger than the sum of its proper divisors (2441212400).

365929416241 is an frugal number, since it uses more digits than its factorization.

365929416241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 4010 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 52.

The spelling of 365929416241 in words is "three hundred sixty-five billion, nine hundred twenty-nine million, four hundred sixteen thousand, two hundred forty-one".