11244973132800 has 3168 divisors, whose sum is σ = 49603676947200. Its totient is φ = 2499268608000.

The previous prime is 11244973132793. The next prime is 11244973132871. The reversal of 11244973132800 is 823137944211.

11244973132800 is a `hidden beast` number, since 1 + 1 + 2 + 449 + 73 + 132 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 287 ways as a sum of consecutive naturals, for example, 362741068785 + ... + 362741068815.

Almost surely, 2^{11244973132800} is an apocalyptic number.

11244973132800 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 11244973132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24801838473600).

11244973132800 is an abundant number, since it is smaller than the sum of its proper divisors (38358703814400).

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

11244973132800 is an equidigital number, since it uses as much as digits as its factorization.

11244973132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11244973132800 in words is "eleven trillion, two hundred forty-four billion, nine hundred seventy-three million, one hundred thirty-two thousand, eight hundred".