11444312000 has 224 divisors, whose sum is σ = 31587618816. Its totient is φ = 4071552000.

The previous prime is 11444311997. The next prime is 11444312023. The reversal of 11444312000 is 21344411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4134617 + ... + 4137383.

Almost surely, 2^11444312000 is an apocalyptic number.

11444312000 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 11444312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793809408).

11444312000 is an abundant number, since it is smaller than the sum of its proper divisors (20143306816).

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

11444312000 is a wasteful number, since it uses less digits than its factorization.

11444312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11444312000 its reverse (21344411), we get a palindrome (11465656411).

The spelling of 11444312000 in words is "eleven billion, four hundred forty-four million, three hundred twelve thousand".