11244245299200 has 2496 divisors, whose sum is σ = 45574147353600. Its totient is φ = 2743283220480.

The previous prime is 11244245299129. The next prime is 11244245299213. The reversal of 11244245299200 is 299254244211.

11244245299200 is a `hidden beast` number, since 1 + 12 + 4 + 4 + 24 + 529 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190580428771 + ... + 190580428829.

Almost surely, 2^{11244245299200} is an apocalyptic number.

11244245299200 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 11244245299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787073676800).

11244245299200 is an abundant number, since it is smaller than the sum of its proper divisors (34329902054400).

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

11244245299200 is an frugal number, since it uses more digits than its factorization.

11244245299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11244245299200 in words is "eleven trillion, two hundred forty-four billion, two hundred forty-five million, two hundred ninety-nine thousand, two hundred".