12869595648 has 480 divisors, whose sum is σ = 46758007296. Its totient is φ = 3316875264.

The previous prime is 12869595637. The next prime is 12869595653. The reversal of 12869595648 is 84659596821.

12869595648 is a `hidden beast` number, since 1 + 2 + 8 + 69 + 5 + 9 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19708090 + ... + 19708742.

Almost surely, 2^12869595648 is an apocalyptic number.

12869595648 is a gapful number since it is divisible by the number (18) 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 12869595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23379003648).

12869595648 is an abundant number, since it is smaller than the sum of its proper divisors (33888411648).

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

12869595648 is a wasteful number, since it uses less digits than its factorization.

12869595648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 12869595648 in words is "twelve billion, eight hundred sixty-nine million, five hundred ninety-five thousand, six hundred forty-eight".