381824402222592 has 480 divisors, whose sum is σ = 1293942218272704. Its totient is φ = 106115943628800.

The previous prime is 381824402222591. The next prime is 381824402222651. The reversal of 381824402222592 is 295222204428183.

381824402222592 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 2 + 4 + 4 + 0 + 22 + 22 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381824402222591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445252792 + ... + 446109512.

Almost surely, 2^{381824402222592} is an apocalyptic number.

381824402222592 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 381824402222592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646971109136352).

381824402222592 is an abundant number, since it is smaller than the sum of its proper divisors (912117816050112).

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

381824402222592 is a wasteful number, since it uses less digits than its factorization.

381824402222592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857130 (or 857111 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 381824402222592 in words is "three hundred eighty-one trillion, eight hundred twenty-four billion, four hundred two million, two hundred twenty-two thousand, five hundred ninety-two".