381160808028 has 672 divisors, whose sum is σ = 1363518374400. Its totient is φ = 89977029120.

The previous prime is 381160808011. The next prime is 381160808071. The reversal of 381160808028 is 820808061183.

381160808028 is a `hidden beast` number, since 3 + 8 + 11 + 608 + 0 + 8 + 0 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 195566398 + ... + 195568346.

It is an arithmetic number, because the mean of its divisors is an integer number (2029045200).

Almost surely, 2^381160808028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381160808028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681759187200).

381160808028 is an abundant number, since it is smaller than the sum of its proper divisors (982357566372).

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

381160808028 is a wasteful number, since it uses less digits than its factorization.

381160808028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 381160808028 in words is "three hundred eighty-one billion, one hundred sixty million, eight hundred eight thousand, twenty-eight".