11845249228800 has 2352 divisors, whose sum is σ = 50359142746080. Its totient is φ = 2736594616320.

The previous prime is 11845249228793. The next prime is 11845249228907. The reversal of 11845249228800 is 882294254811.

11845249228800 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 52 + 492 + 28 + 80 + 0 = 666.

11845249228800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 32995123021 + ... + 32995123379.

Almost surely, 2^{11845249228800} is an apocalyptic number.

11845249228800 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 11845249228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179571373040).

11845249228800 is an abundant number, since it is smaller than the sum of its proper divisors (38513893517280).

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

11845249228800 is an equidigital number, since it uses as much as digits as its factorization.

11845249228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 11845249228800 in words is "eleven trillion, eight hundred forty-five billion, two hundred forty-nine million, two hundred twenty-eight thousand, eight hundred".