381601818039816 has 96 divisors (see below), whose sum is σ = 1193781088562400. Its totient is φ = 108834743109120.

The previous prime is 381601818039809. The next prime is 381601818039829. The reversal of 381601818039816 is 618930818106183.

381601818039816 is a `hidden beast` number, since 3 + 8 + 1 + 60 + 1 + 8 + 180 + 398 + 1 + 6 = 666.

It is a super-2 number, since 2×381601818039816² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14171177046 + ... + 14171203973.

It is an arithmetic number, because the mean of its divisors is an integer number (12435219672525).

Almost surely, 2^{381601818039816} is an apocalyptic number.

381601818039816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381601818039816 is an abundant number, since it is smaller than the sum of its proper divisors (812179270522584).

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

381601818039816 is a wasteful number, since it uses less digits than its factorization.

381601818039816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28342381059 (or 28342381052 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 381601818039816 in words is "three hundred eighty-one trillion, six hundred one billion, eight hundred eighteen million, thirty-nine thousand, eight hundred sixteen".