363599352064 has 135 divisors (see below), whose sum is σ = 789799440003. Its totient is φ = 167062551552.

The previous prime is 363599352031. The next prime is 363599352073. The reversal of 363599352064 is 460253995363.

It is a happy number.

The square root of 363599352064 is 602992.

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

It can be written as a sum of positive squares in 2 ways, for example, as 180278366464 + 183320985600 = 424592^2 + 428160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 363599351996 and 363599352014.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1630490257 + ... + 1630490479.

Almost surely, 2^363599352064 is an apocalyptic number.

363599352064 is the 602992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363599352064

363599352064 is an abundant number, since it is smaller than the sum of its proper divisors (426200087939).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363599352064 is an frugal number, since it uses more digits than its factorization.

363599352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 55.

The spelling of 363599352064 in words is "three hundred sixty-three billion, five hundred ninety-nine million, three hundred fifty-two thousand, sixty-four".