581079182112 has 576 divisors, whose sum is σ = 2048689843200. Its totient is φ = 153594869760.

The previous prime is 581079182081. The next prime is 581079182113. The reversal of 581079182112 is 211281970185.

It is not an unprimeable number, because it can be changed into a prime (581079182113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440544589 + ... + 440545907.

It is an arithmetic number, because the mean of its divisors is an integer number (3556753200).

Almost surely, 2^581079182112 is an apocalyptic number.

581079182112 is a gapful number since it is divisible by the number (52) 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 581079182112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024344921600).

581079182112 is an abundant number, since it is smaller than the sum of its proper divisors (1467610661088).

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

581079182112 is a wasteful number, since it uses less digits than its factorization.

581079182112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 581079182112 in words is "five hundred eighty-one billion, seventy-nine million, one hundred eighty-two thousand, one hundred twelve".