381619312668 has 144 divisors (see below), whose sum is σ = 1079029486080. Its totient is φ = 112729440000.

The previous prime is 381619312597. The next prime is 381619312673. The reversal of 381619312668 is 866213916183.

381619312668 is a `hidden beast` number, since 3 + 8 + 1 + 619 + 3 + 12 + 6 + 6 + 8 = 666.

It is a congruent number.

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, 4630768 + ... + 4712456.

It is an arithmetic number, because the mean of its divisors is an integer number (7493260320).

Almost surely, 2^381619312668 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 381619312668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539514743040).

381619312668 is an abundant number, since it is smaller than the sum of its proper divisors (697410173412).

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

381619312668 is a wasteful number, since it uses less digits than its factorization.

381619312668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82008 (or 82003 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 381619312668 in words is "three hundred eighty-one billion, six hundred nineteen million, three hundred twelve thousand, six hundred sixty-eight".