12612996864 has 576 divisors, whose sum is σ = 44503603200. Its totient is φ = 3484090368.

The previous prime is 12612996863. The next prime is 12612996871. The reversal of 12612996864 is 46869921621.

12612996864 is a `hidden beast` number, since 12 + 612 + 9 + 9 + 6 + 8 + 6 + 4 = 666.

12612996864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12612996864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612996863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35133517 + ... + 35133875.

It is an arithmetic number, because the mean of its divisors is an integer number (77263200).

Almost surely, 2^12612996864 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 12612996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22251801600).

12612996864 is an abundant number, since it is smaller than the sum of its proper divisors (31890606336).

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

12612996864 is a wasteful number, since it uses less digits than its factorization.

12612996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 12612996864 in words is "twelve billion, six hundred twelve million, nine hundred ninety-six thousand, eight hundred sixty-four".