381116160 has 108 divisors (see below), whose sum is σ = 1318662072. Its totient is φ = 101627904.

The previous prime is 381116159. The next prime is 381116179. The reversal of 381116160 is 61611183.

381116160 is a `hidden beast` number, since 38 + 1 + 11 + 616 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5022 + ... + 28061.

It is an arithmetic number, because the mean of its divisors is an integer number (12209834).

Almost surely, 2^381116160 is an apocalyptic number.

381116160 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 381116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659331036).

381116160 is an abundant number, since it is smaller than the sum of its proper divisors (937545912).

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

381116160 is a wasteful number, since it uses less digits than its factorization.

381116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33110 (or 33093 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 381116160 is about 19522.1965977192. The cubic root of 381116160 is about 725.0241196890.

The spelling of 381116160 in words is "three hundred eighty-one million, one hundred sixteen thousand, one hundred sixty".