368231088231120 has 160 divisors (see below), whose sum is σ = 1153708472217600. Its totient is φ = 97148009452032.

The previous prime is 368231088231047. The next prime is 368231088231137. The reversal of 368231088231120 is 21132880132863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 368231088231120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18515611 + ... + 32852549.

It is an arithmetic number, because the mean of its divisors is an integer number (7210677951360).

Almost surely, 2^{368231088231120} is an apocalyptic number.

368231088231120 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 368231088231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576854236108800).

368231088231120 is an abundant number, since it is smaller than the sum of its proper divisors (785477383986480).

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

368231088231120 is a wasteful number, since it uses less digits than its factorization.

368231088231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14338097 (or 14338091 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 368231088231120 in words is "three hundred sixty-eight trillion, two hundred thirty-one billion, eighty-eight million, two hundred thirty-one thousand, one hundred twenty".