381411232224 has 192 divisors, whose sum is σ = 1139234906880. Its totient is φ = 111592588800.

The previous prime is 381411232177. The next prime is 381411232243. The reversal of 381411232224 is 422232114183.

It is a happy number.

It is a Cunningham number, because it is equal to 617585²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3654039 + ... + 3756969.

It is an arithmetic number, because the mean of its divisors is an integer number (5933515140).

Almost surely, 2^381411232224 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 381411232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569617453440).

381411232224 is an abundant number, since it is smaller than the sum of its proper divisors (757823674656).

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

381411232224 is a wasteful number, since it uses less digits than its factorization.

381411232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103006 (or 102976 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The spelling of 381411232224 in words is "three hundred eighty-one billion, four hundred eleven million, two hundred thirty-two thousand, two hundred twenty-four".