869131131968 has 224 divisors, whose sum is σ = 2100204453888. Its totient is φ = 352163635200.

The previous prime is 869131131893. The next prime is 869131131989.

869131131968 is nontrivially palindromic in base 10.

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, 17412455 + ... + 17462297.

Almost surely, 2^869131131968 is an apocalyptic number.

869131131968 is a gapful number since it is divisible by the number (88) 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 869131131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050102226944).

869131131968 is an abundant number, since it is smaller than the sum of its proper divisors (1231073321920).

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

869131131968 is a wasteful number, since it uses less digits than its factorization.

869131131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49961 (or 49951 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 56.

The spelling of 869131131968 in words is "eight hundred sixty-nine billion, one hundred thirty-one million, one hundred thirty-one thousand, nine hundred sixty-eight".