381806659584 has 480 divisors, whose sum is σ = 1309153285440. Its totient is φ = 108602228736.

The previous prime is 381806659579. The next prime is 381806659613. The reversal of 381806659584 is 485956608183.

381806659584 is a `hidden beast` number, since 38 + 1 + 8 + 0 + 6 + 6 + 595 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321656239 + ... + 321657425.

It is an arithmetic number, because the mean of its divisors is an integer number (2727402678).

Almost surely, 2^381806659584 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 381806659584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654576642720).

381806659584 is an abundant number, since it is smaller than the sum of its proper divisors (927346625856).

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

381806659584 is a wasteful number, since it uses less digits than its factorization.

381806659584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 381806659584 in words is "three hundred eighty-one billion, eight hundred six million, six hundred fifty-nine thousand, five hundred eighty-four".