12945441600 has 1344 divisors, whose sum is σ = 60321139200. Its totient is φ = 2627665920.

The previous prime is 12945441599. The next prime is 12945441623. The reversal of 12945441600 is 614454921.

12945441600 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 5 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145454356 + ... + 145454444.

It is an arithmetic number, because the mean of its divisors is an integer number (44881800).

Almost surely, 2^12945441600 is an apocalyptic number.

12945441600 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 12945441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30160569600).

12945441600 is an abundant number, since it is smaller than the sum of its proper divisors (47375697600).

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

12945441600 is a wasteful number, since it uses less digits than its factorization.

12945441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12945441600 in words is "twelve billion, nine hundred forty-five million, four hundred forty-one thousand, six hundred".