381417545808 has 240 divisors, whose sum is σ = 1218056570640. Its totient is φ = 110375387136.

The previous prime is 381417545767. The next prime is 381417545809. The reversal of 381417545808 is 808545714183.

381417545808 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 1 + 7 + 54 + 580 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 294053904 + 381123491904 = 17148^2 + 617352^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381417545809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54383710 + ... + 54390722.

It is an arithmetic number, because the mean of its divisors is an integer number (5075235711).

Almost surely, 2^381417545808 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 381417545808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609028285320).

381417545808 is an abundant number, since it is smaller than the sum of its proper divisors (836639024832).

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

381417545808 is a wasteful number, since it uses less digits than its factorization.

381417545808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 381417545808 in words is "three hundred eighty-one billion, four hundred seventeen million, five hundred forty-five thousand, eight hundred eight".