11446216000 has 112 divisors (see below), whose sum is σ = 29038765392. Its totient is φ = 4466688000.

The previous prime is 11446215997. The next prime is 11446216009. The reversal of 11446216000 is 61264411.

It can be written as a sum of positive squares in 8 ways, for example, as 9829532736 + 1616683264 = 99144^2 + 40208^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446216009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310552 + ... + 345448.

It is an arithmetic number, because the mean of its divisors is an integer number (259274691).

Almost surely, 2^11446216000 is an apocalyptic number.

11446216000 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 11446216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519382696).

11446216000 is an abundant number, since it is smaller than the sum of its proper divisors (17592549392).

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

11446216000 is an equidigital number, since it uses as much as digits as its factorization.

11446216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34965 (or 34945 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 11446216000 in words is "eleven billion, four hundred forty-six million, two hundred sixteen thousand".