381978181820016 has 160 divisors (see below), whose sum is σ = 1097060285344320. Its totient is φ = 127251593035776.

The previous prime is 381978181819979. The next prime is 381978181820017. The reversal of 381978181820016 is 610028181879183.

381978181820016 is a `hidden beast` number, since 381 + 9 + 78 + 1 + 8 + 182 + 0 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381978181820017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5828402800 + ... + 5828468336.

It is an arithmetic number, because the mean of its divisors is an integer number (6856626783402).

Almost surely, 2^{381978181820016} is an apocalyptic number.

381978181820016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381978181820016 is an abundant number, since it is smaller than the sum of its proper divisors (715082103524304).

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

381978181820016 is a wasteful number, since it uses less digits than its factorization.

381978181820016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73240 (or 73228 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 381978181820016 in words is "three hundred eighty-one trillion, nine hundred seventy-eight billion, one hundred eighty-one million, eight hundred twenty thousand, sixteen".