381983060160 has 336 divisors, whose sum is σ = 1415828284416. Its totient is φ = 93966852096.

The previous prime is 381983060033. The next prime is 381983060219. The reversal of 381983060160 is 61060389183.

It is a happy number.

381983060160 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 8 + 30 + 601 + 6 + 0 = 666.

It is a super-2 number, since 2×381983060160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100599382 + ... + 100603178.

It is an arithmetic number, because the mean of its divisors is an integer number (4213774656).

Almost surely, 2^381983060160 is an apocalyptic number.

381983060160 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 381983060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707914142208).

381983060160 is an abundant number, since it is smaller than the sum of its proper divisors (1033845224256).

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

381983060160 is a wasteful number, since it uses less digits than its factorization.

381983060160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 381983060160 in words is "three hundred eighty-one billion, nine hundred eighty-three million, sixty thousand, one hundred sixty".