11634225800 has 108 divisors (see below), whose sum is σ = 28121406495. Its totient is φ = 4476133760.

The previous prime is 11634225797. The next prime is 11634225809. The reversal of 11634225800 is 852243611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4462507204 + 7171718596 = 66802^2 + 84686^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=76270.

It is not an unprimeable number, because it can be changed into a prime (11634225809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44236469 + ... + 44236731.

Almost surely, 2^11634225800 is an apocalyptic number.

11634225800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11634225800

11634225800 is an abundant number, since it is smaller than the sum of its proper divisors (16487180695).

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

11634225800 is an equidigital number, since it uses as much as digits as its factorization.

11634225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Multiplying 11634225800 by its sum of digits (32), we get a square (372295225600 = 610160²).

The spelling of 11634225800 in words is "eleven billion, six hundred thirty-four million, two hundred twenty-five thousand, eight hundred".