11224103904 has 384 divisors, whose sum is σ = 36393436800. Its totient is φ = 3406261248.

The previous prime is 11224103857. The next prime is 11224103921. The reversal of 11224103904 is 40930142211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153754812 + ... + 153754884.

It is an arithmetic number, because the mean of its divisors is an integer number (94774575).

Almost surely, 2^11224103904 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 11224103904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196718400).

11224103904 is an abundant number, since it is smaller than the sum of its proper divisors (25169332896).

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

11224103904 is an frugal number, since it uses more digits than its factorization.

11224103904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11224103904 in words is "eleven billion, two hundred twenty-four million, one hundred three thousand, nine hundred four".