12543066144 has 288 divisors, whose sum is σ = 43087524480. Its totient is φ = 3381129216.

The previous prime is 12543066101. The next prime is 12543066247. The reversal of 12543066144 is 44166034521.

12543066144 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 30 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12543066099 and 12543066108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12141852 + ... + 12142884.

It is an arithmetic number, because the mean of its divisors is an integer number (149609460).

Almost surely, 2^12543066144 is an apocalyptic number.

12543066144 is a gapful number since it is divisible by the number (14) 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 12543066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21543762240).

12543066144 is an abundant number, since it is smaller than the sum of its proper divisors (30544458336).

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

12543066144 is a wasteful number, since it uses less digits than its factorization.

12543066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12543066144 in words is "twelve billion, five hundred forty-three million, sixty-six thousand, one hundred forty-four".