363218738112 has 140 divisors (see below), whose sum is σ = 1077479948160. Its totient is φ = 120984551424.

The previous prime is 363218738111. The next prime is 363218738143. The reversal of 363218738112 is 211837812363.

363218738112 is a `hidden beast` number, since 3 + 632 + 1 + 8 + 7 + 3 + 8 + 1 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363218738111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7279393 + ... + 7329119.

It is an arithmetic number, because the mean of its divisors is an integer number (7696285344).

Almost surely, 2^363218738112 is an apocalyptic number.

363218738112 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 363218738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538739974080).

363218738112 is an abundant number, since it is smaller than the sum of its proper divisors (714261210048).

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

363218738112 is a wasteful number, since it uses less digits than its factorization.

363218738112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51160 (or 51141 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 363218738112 in words is "three hundred sixty-three billion, two hundred eighteen million, seven hundred thirty-eight thousand, one hundred twelve".