12649188288 has 224 divisors, whose sum is σ = 38824692480. Its totient is φ = 3594240000.

The previous prime is 12649188271. The next prime is 12649188311. The reversal of 12649188288 is 88288194621.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4051368 + ... + 4054488.

It is an arithmetic number, because the mean of its divisors is an integer number (173324520).

Almost surely, 2^12649188288 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 12649188288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412346240).

12649188288 is an abundant number, since it is smaller than the sum of its proper divisors (26175504192).

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

12649188288 is a wasteful number, since it uses less digits than its factorization.

12649188288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3257 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 57.

The spelling of 12649188288 in words is "twelve billion, six hundred forty-nine million, one hundred eighty-eight thousand, two hundred eighty-eight".