363989306112 has 288 divisors, whose sum is σ = 1007052963840. Its totient is φ = 116638126080.

The previous prime is 363989306077. The next prime is 363989306123. The reversal of 363989306112 is 211603989363.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 844522537 + ... + 844522967.

It is an arithmetic number, because the mean of its divisors is an integer number (3496711680).

Almost surely, 2^363989306112 is an apocalyptic number.

363989306112 is a gapful number since it is divisible by the number (32) 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 363989306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503526481920).

363989306112 is an abundant number, since it is smaller than the sum of its proper divisors (643063657728).

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

363989306112 is a wasteful number, since it uses less digits than its factorization.

363989306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 363989306112 in words is "three hundred sixty-three billion, nine hundred eighty-nine million, three hundred six thousand, one hundred twelve".