381573192960 has 360 divisors, whose sum is σ = 1377463598280. Its totient is φ = 100849287168.

The previous prime is 381573192911. The next prime is 381573193003. The reversal of 381573192960 is 69291375183.

381573192960 is a `hidden beast` number, since 3 + 8 + 1 + 573 + 1 + 9 + 2 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36900873216 + 344672319744 = 192096^2 + 587088^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 381573192897 and 381573192906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11699556 + ... + 11732124.

It is an arithmetic number, because the mean of its divisors is an integer number (3826287773).

Almost surely, 2^381573192960 is an apocalyptic number.

381573192960 is a gapful number since it is divisible by the number (30) 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 381573192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688731799140).

381573192960 is an abundant number, since it is smaller than the sum of its proper divisors (995890405320).

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

381573192960 is a wasteful number, since it uses less digits than its factorization.

381573192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32715 (or 32692 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 381573192960 in words is "three hundred eighty-one billion, five hundred seventy-three million, one hundred ninety-two thousand, nine hundred sixty".