261462066774336 has 336 divisors, whose sum is σ = 772054662322944. Its totient is φ = 84562199175168.

The previous prime is 261462066774317. The next prime is 261462066774341. The reversal of 261462066774336 is 633477660264162.

261462066774336 is a `hidden beast` number, since 2 + 6 + 1 + 462 + 0 + 66 + 77 + 43 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2285909980 + ... + 2286024356.

It is an arithmetic number, because the mean of its divisors is an integer number (2297781733104).

Almost surely, 2^{261462066774336} 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 261462066774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386027331161472).

261462066774336 is an abundant number, since it is smaller than the sum of its proper divisors (510592595548608).

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

261462066774336 is a wasteful number, since it uses less digits than its factorization.

261462066774336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115278 (or 115265 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 63.

The spelling of 261462066774336 in words is "two hundred sixty-one trillion, four hundred sixty-two billion, sixty-six million, seven hundred seventy-four thousand, three hundred thirty-six".