368445168 has 240 divisors, whose sum is σ = 1311471616. Its totient is φ = 93934080.

The previous prime is 368445167. The next prime is 368445221. The reversal of 368445168 is 861544863.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368445163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405771 + ... + 406677.

Almost surely, 2^368445168 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 368445168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655735808).

368445168 is an abundant number, since it is smaller than the sum of its proper divisors (943026448).

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

368445168 is a wasteful number, since it uses less digits than its factorization.

368445168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 368445168 is about 19194.9255794337. The cubic root of 368445168 is about 716.8984175924.

The spelling of 368445168 in words is "three hundred sixty-eight million, four hundred forty-five thousand, one hundred sixty-eight".