364950100321 has 9 divisors (see below), whose sum is σ = 366502576531. Its totient is φ = 363404180272.

The previous prime is 364950100309. The next prime is 364950100343. The reversal of 364950100321 is 123001059463.

The square root of 364950100321 is 604111.

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., 171582350625 + 193367749696 = 414225^2 + 439736^2 .

It is not a de Polignac number, because 364950100321 - 2³³ = 356360165729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (364950100301) 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, 158880045 + ... + 158882341.

Almost surely, 2^364950100321 is an apocalyptic number.

364950100321 is the 604111-st square number.

364950100321 is the 302056-th centered octagonal number.

It is an amenable number.

364950100321 is a deficient number, since it is larger than the sum of its proper divisors (1552476210).

364950100321 is an frugal number, since it uses more digits than its factorization.

364950100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

Adding to 364950100321 its reverse (123001059463), we get a palindrome (487951159784).

The spelling of 364950100321 in words is "three hundred sixty-four billion, nine hundred fifty million, one hundred thousand, three hundred twenty-one".