11646105361 has 16 divisors (see below), whose sum is σ = 13507378560. Its totient is φ = 9935960320.

The previous prime is 11646105329. The next prime is 11646105379. The reversal of 11646105361 is 16350164611.

11646105361 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 11646105361 - 2⁵ = 11646105329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11646105061) 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 15 ways as a sum of consecutive naturals, for example, 420856 + ... + 447673.

It is an arithmetic number, because the mean of its divisors is an integer number (844211160).

Almost surely, 2^11646105361 is an apocalyptic number.

11646105361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11646105361 is a deficient number, since it is larger than the sum of its proper divisors (1861273199).

11646105361 is a wasteful number, since it uses less digits than its factorization.

11646105361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868616.

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 11646105361 its reverse (16350164611), we get a palindrome (27996269972).

The spelling of 11646105361 in words is "eleven billion, six hundred forty-six million, one hundred five thousand, three hundred sixty-one".