381423624192 has 784 divisors, whose sum is σ = 1308615716520. Its totient is φ = 110457520128.

The previous prime is 381423624181. The next prime is 381423624199. The reversal of 381423624192 is 291426324183.

381423624192 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 2 + 3 + 624 + 19 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 281426006016 + 99997618176 = 530496^2 + 316224^2 .

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.

Its product of digits (497664) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381423624199) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22436683768 + ... + 22436683784.

Almost surely, 2^381423624192 is an apocalyptic number.

381423624192 is a gapful number since it is divisible by the number (32) 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 381423624192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654307858260).

381423624192 is an abundant number, since it is smaller than the sum of its proper divisors (927192092328).

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

381423624192 is an frugal number, since it uses more digits than its factorization.

381423624192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 35 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 381423624192 in words is "three hundred eighty-one billion, four hundred twenty-three million, six hundred twenty-four thousand, one hundred ninety-two".