869458854968 has 64 divisors (see below), whose sum is σ = 1816202373120. Its totient is φ = 386851254400.

The previous prime is 869458854967. The next prime is 869458854997.

869458854968 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 869458854892 and 869458854901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869458854967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1793921 + ... + 2226447.

It is an arithmetic number, because the mean of its divisors is an integer number (28378162080).

Almost surely, 2^869458854968 is an apocalyptic number.

869458854968 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 869458854968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908101186560).

869458854968 is an abundant number, since it is smaller than the sum of its proper divisors (946743518152).

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

869458854968 is a wasteful number, since it uses less digits than its factorization.

869458854968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433028 (or 433024 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 80.

The spelling of 869458854968 in words is "eight hundred sixty-nine billion, four hundred fifty-eight million, eight hundred fifty-four thousand, nine hundred sixty-eight".