581222144160 has 384 divisors, whose sum is σ = 2325973708800. Its totient is φ = 132788782080.

The previous prime is 581222144143. The next prime is 581222144171. The reversal of 581222144160 is 61441222185.

581222144160 is a `hidden beast` number, since 5 + 8 + 1 + 22 + 214 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107016645 + ... + 107022075.

It is an arithmetic number, because the mean of its divisors is an integer number (6057223200).

Almost surely, 2^581222144160 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 581222144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162986854400).

581222144160 is an abundant number, since it is smaller than the sum of its proper divisors (1744751564640).

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

581222144160 is a wasteful number, since it uses less digits than its factorization.

581222144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9001 (or 8987 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 581222144160 in words is "five hundred eighty-one billion, two hundred twenty-two million, one hundred forty-four thousand, one hundred sixty".