11304553806 has 128 divisors (see below), whose sum is σ = 31916236800. Its totient is φ = 2885207040.

The previous prime is 11304553789. The next prime is 11304553807. The reversal of 11304553806 is 60835540311.

11304553806 is a `hidden beast` number, since 113 + 0 + 4 + 5 + 538 + 0 + 6 = 666.

It is a super-3 number, since 3×11304553806³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304553807) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115230 + ... + 189438.

It is an arithmetic number, because the mean of its divisors is an integer number (249345600).

Almost surely, 2^11304553806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304553806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958118400).

11304553806 is an abundant number, since it is smaller than the sum of its proper divisors (20611682994).

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

11304553806 is a wasteful number, since it uses less digits than its factorization.

11304553806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74271 (or 74265 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11304553806 in words is "eleven billion, three hundred four million, five hundred fifty-three thousand, eight hundred six".