11814849441200 has 240 divisors, whose sum is σ = 32472310701600. Its totient is φ = 4092410511360.

The previous prime is 11814849441139. The next prime is 11814849441211. The reversal of 11814849441200 is 214494841811.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26921126 + ... + 27356474.

It is an arithmetic number, because the mean of its divisors is an integer number (135301294590).

Almost surely, 2^{11814849441200} is an apocalyptic number.

11814849441200 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 11814849441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236155350800).

11814849441200 is an abundant number, since it is smaller than the sum of its proper divisors (20657461260400).

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

11814849441200 is a wasteful number, since it uses less digits than its factorization.

11814849441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435704 (or 435693 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The spelling of 11814849441200 in words is "eleven trillion, eight hundred fourteen billion, eight hundred forty-nine million, four hundred forty-one thousand, two hundred".