361846762369 has 9 divisors (see below), whose sum is σ = 362809972161. Its totient is φ = 360886107780.

The previous prime is 361846762313. The next prime is 361846762391. The reversal of 361846762369 is 963267648163.

The square root of 361846762369 is 601537.

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

It is not a de Polignac number, because 361846762369 - 2¹¹ = 361846760321 is a prime.

It is a super-2 number, since 2×361846762369² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361846762309) 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 8 ways as a sum of consecutive naturals, for example, 365132464 + ... + 365133454.

It is an arithmetic number, because the mean of its divisors is an integer number (40312219129).

Almost surely, 2^361846762369 is an apocalyptic number.

361846762369 is the 601537-th square number.

361846762369 is the 300769-th centered octagonal number.

It is an amenable number.

361846762369 is a deficient number, since it is larger than the sum of its proper divisors (963209792).

361846762369 is an frugal number, since it uses more digits than its factorization.

361846762369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 1598 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 61.

The spelling of 361846762369 in words is "three hundred sixty-one billion, eight hundred forty-six million, seven hundred sixty-two thousand, three hundred sixty-nine".