11944956827232 has 768 divisors, whose sum is σ = 42401874816000. Its totient is φ = 3221445427200.

The previous prime is 11944956827227. The next prime is 11944956827317. The reversal of 11944956827232 is 23272865944911.

It is a happy number.

11944956827232 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 49 + 568 + 2 + 7 + 23 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11944956827232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3077801932 + ... + 3077805812.

It is an arithmetic number, because the mean of its divisors is an integer number (55210774500).

Almost surely, 2^{11944956827232} is an apocalyptic number.

11944956827232 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 11944956827232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200937408000).

11944956827232 is an abundant number, since it is smaller than the sum of its proper divisors (30456917988768).

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

11944956827232 is a wasteful number, since it uses less digits than its factorization.

11944956827232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4798 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 11944956827232 in words is "eleven trillion, nine hundred forty-four billion, nine hundred fifty-six million, eight hundred twenty-seven thousand, two hundred thirty-two".