368162388000 has 768 divisors, whose sum is σ = 1496145530880. Its totient is φ = 87163776000.

The previous prime is 368162387993. The next prime is 368162388019. The reversal of 368162388000 is 883261863.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51080397 + ... + 51087603.

It is an arithmetic number, because the mean of its divisors is an integer number (1948106160).

Almost surely, 2^368162388000 is an apocalyptic number.

368162388000 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 368162388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748072765440).

368162388000 is an abundant number, since it is smaller than the sum of its proper divisors (1127983142880).

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

368162388000 is a wasteful number, since it uses less digits than its factorization.

368162388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 368162388000 in words is "three hundred sixty-eight billion, one hundred sixty-two million, three hundred eighty-eight thousand".