12411845256960 has 576 divisors, whose sum is σ = 44399278748160. Its totient is φ = 3283268567040.

The previous prime is 12411845256917. The next prime is 12411845256973. The reversal of 12411845256960 is 6965254811421.

It is a happy number.

12411845256960 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 18 + 4 + 5 + 2 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 12411845256897 and 12411845256906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3475731975 + ... + 3475735545.

It is an arithmetic number, because the mean of its divisors is an integer number (77082081160).

Almost surely, 2^{12411845256960} is an apocalyptic number.

12411845256960 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 12411845256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199639374080).

12411845256960 is an abundant number, since it is smaller than the sum of its proper divisors (31987433491200).

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

12411845256960 is a wasteful number, since it uses less digits than its factorization.

12411845256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12411845256960 in words is "twelve trillion, four hundred eleven billion, eight hundred forty-five million, two hundred fifty-six thousand, nine hundred sixty".