381182312448 has 512 divisors, whose sum is σ = 1313216544000. Its totient is φ = 107017666560.

The previous prime is 381182312419. The next prime is 381182312501. The reversal of 381182312448 is 844213281183.

381182312448 is a `hidden beast` number, since 381 + 1 + 8 + 23 + 1 + 244 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product 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, 377781768 + ... + 377782776.

Almost surely, 2^381182312448 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 381182312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656608272000).

381182312448 is an abundant number, since it is smaller than the sum of its proper divisors (932034231552).

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

381182312448 is an equidigital number, since it uses as much as digits as its factorization.

381182312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1082 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 381182312448 in words is "three hundred eighty-one billion, one hundred eighty-two million, three hundred twelve thousand, four hundred forty-eight".