381799802160216 has 192 divisors, whose sum is σ = 1142422687411200. Its totient is φ = 114222515097600.

The previous prime is 381799802160211. The next prime is 381799802160229. The reversal of 381799802160216 is 612061208997183.

381799802160216 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 9 + 9 + 8 + 0 + 2 + 1 + 602 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381799802160211) 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, 739984120 + ... + 740499896.

It is an arithmetic number, because the mean of its divisors is an integer number (5950118163600).

Almost surely, 2^{381799802160216} is an apocalyptic number.

381799802160216 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 381799802160216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571211343705600).

381799802160216 is an abundant number, since it is smaller than the sum of its proper divisors (760622885250984).

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

381799802160216 is a wasteful number, since it uses less digits than its factorization.

381799802160216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527710 (or 527703 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 381799802160216 in words is "three hundred eighty-one trillion, seven hundred ninety-nine billion, eight hundred two million, one hundred sixty thousand, two hundred sixteen".