11233758822400 has 135 divisors (see below), whose sum is σ = 27864192308239. Its totient is φ = 4492645498880.

The previous prime is 11233758822397. The next prime is 11233758822463. The reversal of 11233758822400 is 422885733211.

The square root of 11233758822400 is 3351680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 710015205376 + 10523743617024 = 842624^2 + 3244032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2145072582 + ... + 2145077818.

Almost surely, 2^{11233758822400} is an apocalyptic number.

11233758822400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11233758822400 is the 3351680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233758822400

11233758822400 is an abundant number, since it is smaller than the sum of its proper divisors (16630433485839).

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

11233758822400 is an frugal number, since it uses more digits than its factorization.

11233758822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 11233758822400 in words is "eleven trillion, two hundred thirty-three billion, seven hundred fifty-eight million, eight hundred twenty-two thousand, four hundred".