363993600000 has 312 divisors, whose sum is σ = 1213214224320. Its totient is φ = 97054720000.

The previous prime is 363993599999. The next prime is 363993600067. The reversal of 363993600000 is 6399363.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38395261 + ... + 38404739.

Almost surely, 2^363993600000 is an apocalyptic number.

363993600000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363993600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606607112160).

363993600000 is an abundant number, since it is smaller than the sum of its proper divisors (849220624320).

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

363993600000 is an frugal number, since it uses more digits than its factorization.

363993600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 39.

Adding to 363993600000 its reverse (6399363), we get a palindrome (363999999363).

The spelling of 363993600000 in words is "three hundred sixty-three billion, nine hundred ninety-three million, six hundred thousand".