368168814000 has 960 divisors, whose sum is σ = 1512171548160. Its totient is φ = 85828377600.

The previous prime is 368168813993. The next prime is 368168814031. The reversal of 368168814000 is 418861863.

It is a happy number.

368168814000 is a `hidden beast` number, since 3 + 6 + 8 + 168 + 81 + 400 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 120040467 + ... + 120043533.

It is an arithmetic number, because the mean of its divisors is an integer number (1575178696).

Almost surely, 2^368168814000 is an apocalyptic number.

368168814000 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 368168814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756085774080).

368168814000 is an abundant number, since it is smaller than the sum of its proper divisors (1144002734160).

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

368168814000 is a wasteful number, since it uses less digits than its factorization.

368168814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 368168814000 in words is "three hundred sixty-eight billion, one hundred sixty-eight million, eight hundred fourteen thousand".