12327044456160 has 1536 divisors, whose sum is σ = 53348585472000. Its totient is φ = 2652658606080.

The previous prime is 12327044456149. The next prime is 12327044456161. The reversal of 12327044456160 is 6165444072321.

12327044456160 is a `hidden beast` number, since 1 + 2 + 3 + 27 + 0 + 4 + 4 + 4 + 5 + 616 + 0 = 666.

12327044456160 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12327044456161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1699575094 + ... + 1699582346.

It is an arithmetic number, because the mean of its divisors is an integer number (34732152000).

Almost surely, 2^{12327044456160} is an apocalyptic number.

12327044456160 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 12327044456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26674292736000).

12327044456160 is an abundant number, since it is smaller than the sum of its proper divisors (41021541015840).

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

12327044456160 is a wasteful number, since it uses less digits than its factorization.

12327044456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 12327044456160 in words is "twelve trillion, three hundred twenty-seven billion, forty-four million, four hundred fifty-six thousand, one hundred sixty".