381818583216 has 400 divisors, whose sum is σ = 1313232044000. Its totient is φ = 106131949056.

The previous prime is 381818583161. The next prime is 381818583229. The reversal of 381818583216 is 612385818183.

381818583216 is a `hidden beast` number, since 38 + 1 + 8 + 1 + 8 + 583 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38372610 + ... + 38382558.

It is an arithmetic number, because the mean of its divisors is an integer number (3283080110).

Almost surely, 2^381818583216 is an apocalyptic number.

381818583216 is a gapful number since it is divisible by the number (36) 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 381818583216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656616022000).

381818583216 is an abundant number, since it is smaller than the sum of its proper divisors (931413460784).

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

381818583216 is an equidigital number, since it uses as much as digits as its factorization.

381818583216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10031 (or 9998 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 381818583216 in words is "three hundred eighty-one billion, eight hundred eighteen million, five hundred eighty-three thousand, two hundred sixteen".