11224575864 has 128 divisors (see below), whose sum is σ = 31989619200. Its totient is φ = 3644766720.

The previous prime is 11224575833. The next prime is 11224575871. The reversal of 11224575864 is 46857542211.

11224575864 is a `hidden beast` number, since 1 + 1 + 22 + 45 + 7 + 586 + 4 = 666.

It is a super-2 number, since 2×11224575864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4020309 + ... + 4023099.

It is an arithmetic number, because the mean of its divisors is an integer number (249918900).

Almost surely, 2^11224575864 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 11224575864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15994809600).

11224575864 is an abundant number, since it is smaller than the sum of its proper divisors (20765043336).

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

11224575864 is a wasteful number, since it uses less digits than its factorization.

11224575864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3272 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 11224575864 in words is "eleven billion, two hundred twenty-four million, five hundred seventy-five thousand, eight hundred sixty-four".