381682319850 has 288 divisors, whose sum is σ = 1163715309120. Its totient is φ = 88911406080.

The previous prime is 381682319803. The next prime is 381682319857. The reversal of 381682319850 is 58913286183.

381682319850 is a `hidden beast` number, since 381 + 6 + 8 + 23 + 198 + 50 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (381682319857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191510454 + ... + 191512446.

Almost surely, 2^381682319850 is an apocalyptic number.

381682319850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381682319850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581857654560).

381682319850 is an abundant number, since it is smaller than the sum of its proper divisors (782032989270).

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

381682319850 is a wasteful number, since it uses less digits than its factorization.

381682319850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 381682319850 in words is "three hundred eighty-one billion, six hundred eighty-two million, three hundred nineteen thousand, eight hundred fifty".