261744185843712 has 2688 divisors, whose sum is σ = 1001160506062080. Its totient is φ = 64550338560000.

The previous prime is 261744185843689. The next prime is 261744185843743. The reversal of 261744185843712 is 217348581447162.

261744185843712 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 4 + 4 + 1 + 8 + 584 + 37 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 261744185843712.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 343947681412 + ... + 343947682172.

It is an arithmetic number, because the mean of its divisors is an integer number (372455545410).

Almost surely, 2^{261744185843712} is an apocalyptic number.

261744185843712 is a gapful number since it is divisible by the number (22) 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 261744185843712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500580253031040).

261744185843712 is an abundant number, since it is smaller than the sum of its proper divisors (739416320218368).

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

261744185843712 is a wasteful number, since it uses less digits than its factorization.

261744185843712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 927 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 261744185843712 in words is "two hundred sixty-one trillion, seven hundred forty-four billion, one hundred eighty-five million, eight hundred forty-three thousand, seven hundred twelve".