381368027767968 has 384 divisors, whose sum is σ = 1208730636288000. Its totient is φ = 116538042332160.

The previous prime is 381368027767967. The next prime is 381368027767997. The reversal of 381368027767968 is 869767720863183.

381368027767968 is a `hidden beast` number, since 3 + 81 + 368 + 0 + 27 + 76 + 7 + 96 + 8 = 666.

It is a super-2 number, since 2×381368027767968² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381368027767967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9748901113 + ... + 9748940231.

It is an arithmetic number, because the mean of its divisors is an integer number (3147736032000).

Almost surely, 2^{381368027767968} is an apocalyptic number.

381368027767968 is a gapful number since it is divisible by the number (38) 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 381368027767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604365318144000).

381368027767968 is an abundant number, since it is smaller than the sum of its proper divisors (827362608520032).

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

381368027767968 is a wasteful number, since it uses less digits than its factorization.

381368027767968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58345 (or 58331 counting only the distinct ones).

The product of its (nonzero) digits is 6145155072, while the sum is 81.

The spelling of 381368027767968 in words is "three hundred eighty-one trillion, three hundred sixty-eight billion, twenty-seven million, seven hundred sixty-seven thousand, nine hundred sixty-eight".