261460133816 has 128 divisors (see below), whose sum is σ = 584245094400. Its totient is φ = 107387804160.

The previous prime is 261460133791. The next prime is 261460133849. The reversal of 261460133816 is 618331064162.

261460133816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261460133816² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22963661 + ... + 22975043.

It is an arithmetic number, because the mean of its divisors is an integer number (4564414800).

Almost surely, 2^261460133816 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 261460133816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292122547200).

261460133816 is an abundant number, since it is smaller than the sum of its proper divisors (322784960584).

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

261460133816 is a wasteful number, since it uses less digits than its factorization.

261460133816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11625 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

Adding to 261460133816 its reverse (618331064162), we get a palindrome (879791197978).

The spelling of 261460133816 in words is "two hundred sixty-one billion, four hundred sixty million, one hundred thirty-three thousand, eight hundred sixteen".