11223345678900 has 72 divisors (see below), whose sum is σ = 32474567369664. Its totient is φ = 2992736678400.

The previous prime is 11223345678899. The next prime is 11223345678929. The reversal of 11223345678900 is 987654332211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4870129 + ... + 6794471.

It is an arithmetic number, because the mean of its divisors is an integer number (451035657912).

It is a 2-persistent number, because it is pandigital, and so is 2⋅11223345678900 = 22446691357800, but 3⋅11223345678900 = 33670037036700 is not.

Almost surely, 2^{11223345678900} is an apocalyptic number.

11223345678900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223345678900 is an abundant number, since it is smaller than the sum of its proper divisors (21251221690764).

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

11223345678900 is a wasteful number, since it uses less digits than its factorization.

11223345678900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943801 (or 1943794 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 11223345678900 in words is "eleven trillion, two hundred twenty-three billion, three hundred forty-five million, six hundred seventy-eight thousand, nine hundred".