12611748864 has 352 divisors, whose sum is σ = 41597660160. Its totient is φ = 3339878400.

The previous prime is 12611748833. The next prime is 12611748869. The reversal of 12611748864 is 46884711621.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12611748869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8345869 + ... + 8347379.

Almost surely, 2^12611748864 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 12611748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798830080).

12611748864 is an abundant number, since it is smaller than the sum of its proper divisors (28985911296).

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

12611748864 is a wasteful number, since it uses less digits than its factorization.

12611748864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1559 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The spelling of 12611748864 in words is "twelve billion, six hundred eleven million, seven hundred forty-eight thousand, eight hundred sixty-four".