381330085500 has 2304 divisors, whose sum is σ = 1748849356800. Its totient is φ = 69424128000.

The previous prime is 381330085427. The next prime is 381330085511. The reversal of 381330085500 is 5580033183.

381330085500 is a `hidden beast` number, since 38 + 13 + 30 + 0 + 85 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 12300970485 + ... + 12300970515.

It is an arithmetic number, because the mean of its divisors is an integer number (759049200).

Almost surely, 2^381330085500 is an apocalyptic number.

381330085500 is a gapful number since it is divisible by the number (30) 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 381330085500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874424678400).

381330085500 is an abundant number, since it is smaller than the sum of its proper divisors (1367519271300).

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

381330085500 is a wasteful number, since it uses less digits than its factorization.

381330085500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 381330085500 in words is "three hundred eighty-one billion, three hundred thirty million, eighty-five thousand, five hundred".