11335856961 has 32 divisors (see below), whose sum is σ = 17863308288. Its totient is φ = 6303723840.

The previous prime is 11335856933. The next prime is 11335856963. The reversal of 11335856961 is 16965853311.

11335856961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11335856961 - 2¹¹ = 11335854913 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 11335856961.

It is not an unprimeable number, because it can be changed into a prime (11335856963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7471 + ... + 150756.

It is an arithmetic number, because the mean of its divisors is an integer number (558228384).

Almost surely, 2^11335856961 is an apocalyptic number.

11335856961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11335856961 is a deficient number, since it is larger than the sum of its proper divisors (6527451327).

11335856961 is a wasteful number, since it uses less digits than its factorization.

11335856961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158421.

The product of its digits is 583200, while the sum is 48.

The spelling of 11335856961 in words is "eleven billion, three hundred thirty-five million, eight hundred fifty-six thousand, nine hundred sixty-one".