381888000000 has 1456 divisors, whose sum is σ = 1612582483680. Its totient is φ = 88473600000.

The previous prime is 381887999947. The next prime is 381888000019. The reversal of 381888000000 is 888183.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 22463999992 + ... + 22464000008.

Almost surely, 2^381888000000 is an apocalyptic number.

381888000000 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 381888000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806291241840).

381888000000 is an abundant number, since it is smaller than the sum of its proper divisors (1230694483680).

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

381888000000 is an frugal number, since it uses more digits than its factorization.

381888000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 381888000000 its reverse (888183), we get a palindrome (381888888183).

The spelling of 381888000000 in words is "three hundred eighty-one billion, eight hundred eighty-eight million", and thus it is an aban number.