11226624624 has 100 divisors (see below), whose sum is σ = 32528822040. Its totient is φ = 3738096000.

The previous prime is 11226624593. The next prime is 11226624631. The reversal of 11226624624 is 42642662211.

11226624624 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 6 + 6 + 24 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1316374 + ... + 1324874.

Almost surely, 2^11226624624 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 11226624624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16264411020).

11226624624 is an abundant number, since it is smaller than the sum of its proper divisors (21302197416).

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

11226624624 is a wasteful number, since it uses less digits than its factorization.

11226624624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 9525 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 11226624624 in words is "eleven billion, two hundred twenty-six million, six hundred twenty-four thousand, six hundred twenty-four".