11264563101 has 16 divisors (see below), whose sum is σ = 16389414720. Its totient is φ = 6825093120.

The previous prime is 11264563049. The next prime is 11264563111. The reversal of 11264563101 is 10136546211.

It is a happy number.

It is not a de Polignac number, because 11264563101 - 2¹⁰ = 11264562077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264563111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76381 + ... + 168413.

It is an arithmetic number, because the mean of its divisors is an integer number (1024338420).

Almost surely, 2^11264563101 is an apocalyptic number.

11264563101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11264563101 is a deficient number, since it is larger than the sum of its proper divisors (5124851619).

11264563101 is a wasteful number, since it uses less digits than its factorization.

11264563101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95756.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 11264563101 in words is "eleven billion, two hundred sixty-four million, five hundred sixty-three thousand, one hundred one".