363859891264 has 21 divisors (see below), whose sum is σ = 722044047781. Its totient is φ = 181927532800.

The previous prime is 363859891253. The next prime is 363859891303. The reversal of 363859891264 is 462198958363.

The square root of 363859891264 is 603208.

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., 127586124864 + 236273766400 = 357192^2 + 486080^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 363859891196 and 363859891205.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 4787964 + ... + 4863364.

Almost surely, 2^363859891264 is an apocalyptic number.

363859891264 is the 603208-th square number.

It is an amenable number.

363859891264 is a deficient number, since it is larger than the sum of its proper divisors (358184156517).

363859891264 is an frugal number, since it uses more digits than its factorization.

363859891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150814 (or 75403 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 64.

Multiplying 363859891264 by its sum of digits (64), we get a square (23287033040896 = 4825664²).

363859891264 divided by its sum of digits (64) gives a square (5685310801 = 75401²).

The spelling of 363859891264 in words is "three hundred sixty-three billion, eight hundred fifty-nine million, eight hundred ninety-one thousand, two hundred sixty-four".