261336111768 has 96 divisors (see below), whose sum is σ = 714768600000. Its totient is φ = 86255886528.

The previous prime is 261336111767. The next prime is 261336111779. The reversal of 261336111768 is 867111633162.

261336111768 is a `hidden beast` number, since 2 + 6 + 13 + 3 + 611 + 17 + 6 + 8 = 666.

261336111768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261336111761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3758583 + ... + 3827481.

It is an arithmetic number, because the mean of its divisors is an integer number (7445506250).

Almost surely, 2^261336111768 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 261336111768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357384300000).

261336111768 is an abundant number, since it is smaller than the sum of its proper divisors (453432488232).

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

261336111768 is a wasteful number, since it uses less digits than its factorization.

261336111768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69429 (or 69422 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 261336111768 in words is "two hundred sixty-one billion, three hundred thirty-six million, one hundred eleven thousand, seven hundred sixty-eight".