11144952000 has 1344 divisors, whose sum is σ = 51856721280. Its totient is φ = 2351462400.

The previous prime is 11144951971. The next prime is 11144952001. The reversal of 11144952000 is 25944111.

11144952000 is a `hidden beast` number, since 1 + 11 + 449 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11144952001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 857303994 + ... + 857304006.

It is an arithmetic number, because the mean of its divisors is an integer number (38583870).

Almost surely, 2^11144952000 is an apocalyptic number.

11144952000 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 11144952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25928360640).

11144952000 is an abundant number, since it is smaller than the sum of its proper divisors (40711769280).

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

11144952000 is an frugal number, since it uses more digits than its factorization.

11144952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11144952000 in words is "eleven billion, one hundred forty-four million, nine hundred fifty-two thousand".