368018112000 has 1920 divisors, whose sum is σ = 1608361058304. Its totient is φ = 72990720000.

The previous prime is 368018111999. The next prime is 368018112019. The reversal of 368018112000 is 211810863.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5041343964 + ... + 5041344036.

Almost surely, 2^368018112000 is an apocalyptic number.

368018112000 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 368018112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804180529152).

368018112000 is an abundant number, since it is smaller than the sum of its proper divisors (1240342946304).

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

368018112000 is a wasteful number, since it uses less digits than its factorization.

368018112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 368018112000 its reverse (211810863), we get a palindrome (368229922863).

The spelling of 368018112000 in words is "three hundred sixty-eight billion, eighteen million, one hundred twelve thousand".