863515515368 has 64 divisors (see below), whose sum is σ = 1795134165120. Its totient is φ = 386144928000.

The previous prime is 863515515341. The next prime is 863515515403.

It is a happy number.

863515515368 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086005 + ... + 1704827.

It is an arithmetic number, because the mean of its divisors is an integer number (28048971330).

Almost surely, 2^863515515368 is an apocalyptic number.

863515515368 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 863515515368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897567082560).

863515515368 is an abundant number, since it is smaller than the sum of its proper divisors (931618649752).

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

863515515368 is a wasteful number, since it uses less digits than its factorization.

863515515368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619098 (or 619094 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 56.

The spelling of 863515515368 in words is "eight hundred sixty-three billion, five hundred fifteen million, five hundred fifteen thousand, three hundred sixty-eight".