11845281888000 has 2592 divisors, whose sum is σ = 50608706383872. Its totient is φ = 2734414848000.

The previous prime is 11845281887893. The next prime is 11845281888007. The reversal of 11845281888000 is 88818254811.

It is a happy number.

11845281888000 is a `hidden beast` number, since 1 + 1 + 8 + 452 + 8 + 188 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11845281888007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53117855889 + ... + 53117856111.

Almost surely, 2^{11845281888000} is an apocalyptic number.

11845281888000 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 11845281888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25304353191936).

11845281888000 is an abundant number, since it is smaller than the sum of its proper divisors (38763424495872).

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

11845281888000 is an frugal number, since it uses more digits than its factorization.

11845281888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 54.

The spelling of 11845281888000 in words is "eleven trillion, eight hundred forty-five billion, two hundred eighty-one million, eight hundred eighty-eight thousand".