11261411766 has 48 divisors (see below), whose sum is σ = 26638951248. Its totient is φ = 3409848000.

The previous prime is 11261411741. The next prime is 11261411767. The reversal of 11261411766 is 66711416211.

11261411766 is a `hidden beast` number, since 112 + 61 + 411 + 76 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11261411766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261411767) 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, 235740 + ... + 279456.

It is an arithmetic number, because the mean of its divisors is an integer number (554978151).

Almost surely, 2^11261411766 is an apocalyptic number.

11261411766 is an abundant number, since it is smaller than the sum of its proper divisors (15377539482).

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

11261411766 is a wasteful number, since it uses less digits than its factorization.

11261411766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45037 (or 45034 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

Adding to 11261411766 its reverse (66711416211), we get a palindrome (77972827977).

The spelling of 11261411766 in words is "eleven billion, two hundred sixty-one million, four hundred eleven thousand, seven hundred sixty-six".