361431168 has 256 divisors, whose sum is σ = 1163289600. Its totient is φ = 97284096.

The previous prime is 361431157. The next prime is 361431199. The reversal of 361431168 is 861134163.

361431168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6125923 + ... + 6125981.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^361431168 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 361431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

361431168 is an abundant number, since it is smaller than the sum of its proper divisors (801858432).

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

361431168 is a wasteful number, since it uses less digits than its factorization.

361431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 361431168 is about 19011.3431403465. The cubic root of 361431168 is about 712.3201018269.

The spelling of 361431168 in words is "three hundred sixty-one million, four hundred thirty-one thousand, one hundred sixty-eight".