11724593454912 has 896 divisors, whose sum is σ = 37976816908800. Its totient is φ = 3153199104000.

The previous prime is 11724593454911. The next prime is 11724593454913. The reversal of 11724593454912 is 21945439542711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11724593454911) and next prime (11724593454913).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11724593454911) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8875543212 + ... + 8875544532.

It is an arithmetic number, because the mean of its divisors is an integer number (42384840300).

Almost surely, 2^{11724593454912} is an apocalyptic number.

11724593454912 is a gapful number since it is divisible by the number (12) 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 11724593454912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988408454400).

11724593454912 is an abundant number, since it is smaller than the sum of its proper divisors (26252223453888).

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

11724593454912 is a wasteful number, since it uses less digits than its factorization.

11724593454912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1585 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 11724593454912 in words is "eleven trillion, seven hundred twenty-four billion, five hundred ninety-three million, four hundred fifty-four thousand, nine hundred twelve".