12195857664 has 360 divisors, whose sum is σ = 39866155560. Its totient is φ = 3691118592.

The previous prime is 12195857623. The next prime is 12195857689. The reversal of 12195857664 is 46675859121.

It is a happy number.

12195857664 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 5 + 8 + 576 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3434897664 + 8760960000 = 58608^2 + 93600^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12195857664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10222252 + ... + 10223444.

It is an arithmetic number, because the mean of its divisors is an integer number (110739321).

Almost surely, 2^12195857664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12195857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933077780).

12195857664 is an abundant number, since it is smaller than the sum of its proper divisors (27670297896).

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

12195857664 is a wasteful number, since it uses less digits than its factorization.

12195857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1244 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 12195857664 in words is "twelve billion, one hundred ninety-five million, eight hundred fifty-seven thousand, six hundred sixty-four".