381309311160 has 640 divisors, whose sum is σ = 1408082227200. Its totient is φ = 92513249280.

The previous prime is 381309311153. The next prime is 381309311161. The reversal of 381309311160 is 61113903183.

381309311160 is a `hidden beast` number, since 38 + 1 + 309 + 311 + 1 + 6 + 0 = 666.

381309311160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381309311161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 414917181 + ... + 414918099.

It is an arithmetic number, because the mean of its divisors is an integer number (2200128480).

Almost surely, 2^381309311160 is an apocalyptic number.

381309311160 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 381309311160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704041113600).

381309311160 is an abundant number, since it is smaller than the sum of its proper divisors (1026772916040).

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

381309311160 is an equidigital number, since it uses as much as digits as its factorization.

381309311160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 381309311160 in words is "three hundred eighty-one billion, three hundred nine million, three hundred eleven thousand, one hundred sixty".