381121121184 has 96 divisors (see below), whose sum is σ = 1025934807744. Its totient is φ = 123816161280.

The previous prime is 381121121149. The next prime is 381121121197. The reversal of 381121121184 is 481121121183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 1802872 + ... + 2003144.

It is an arithmetic number, because the mean of its divisors is an integer number (10686820914).

Almost surely, 2^381121121184 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 381121121184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512967403872).

381121121184 is an abundant number, since it is smaller than the sum of its proper divisors (644813686560).

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

381121121184 is a wasteful number, since it uses less digits than its factorization.

381121121184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200790 (or 200782 counting only the distinct ones).

The product of its digits is 3072, while the sum is 33.

Subtracting 381121121184 from its reverse (481121121183), we obtain a palindrome (99999999999).

The spelling of 381121121184 in words is "three hundred eighty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred eighty-four".