368463168 has 280 divisors, whose sum is σ = 1198257192. Its totient is φ = 111476736.

The previous prime is 368463113. The next prime is 368463191. The reversal of 368463168 is 861364863.

368463168 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 631 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67371264 + 301091904 = 8208^2 + 17352^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3260680 + ... + 3260792.

Almost surely, 2^368463168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599128596).

368463168 is an abundant number, since it is smaller than the sum of its proper divisors (829794024).

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

368463168 is a wasteful number, since it uses less digits than its factorization.

368463168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 368463168 is about 19195.3944476273. The cubic root of 368463168 is about 716.9100918409.

The spelling of 368463168 in words is "three hundred sixty-eight million, four hundred sixty-three thousand, one hundred sixty-eight".