11232016228400 has 180 divisors, whose sum is σ = 29801710375752. Its totient is φ = 4065008640000.

The previous prime is 11232016228373. The next prime is 11232016228457. The reversal of 11232016228400 is 482261023211.

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 35 ways as a sum of consecutive naturals, for example, 9662480 + ... + 10762320.

Almost surely, 2^{11232016228400} is an apocalyptic number.

11232016228400 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 11232016228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900855187876).

11232016228400 is an abundant number, since it is smaller than the sum of its proper divisors (18569694147352).

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

11232016228400 is a wasteful number, since it uses less digits than its factorization.

11232016228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100092 (or 1100070 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 11232016228400 in words is "eleven trillion, two hundred thirty-two billion, sixteen million, two hundred twenty-eight thousand, four hundred".