11844587314560 has 3072 divisors, whose sum is σ = 53808827627520. Its totient is φ = 2157119078400.

The previous prime is 11844587314493. The next prime is 11844587314561. The reversal of 11844587314560 is 6541378544811.

It is a self number, because there is not a number n which added to its sum of digits gives 11844587314560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11844587314561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 223482779494 + ... + 223482779546.

It is an arithmetic number, because the mean of its divisors is an integer number (17515894410).

Almost surely, 2^{11844587314560} is an apocalyptic number.

11844587314560 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 11844587314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26904413813760).

11844587314560 is an abundant number, since it is smaller than the sum of its proper divisors (41964240312960).

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

11844587314560 is a wasteful number, since it uses less digits than its factorization.

11844587314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 11844587314560 in words is "eleven trillion, eight hundred forty-four billion, five hundred eighty-seven million, three hundred fourteen thousand, five hundred sixty".