863692949296368 has 720 divisors, whose sum is σ = 2613831438366720. Its totient is φ = 266011724160000.

The previous prime is 863692949296343. The next prime is 863692949296369.

It is a happy number.

863692949296368 is a `hidden beast` number, since 8 + 6 + 3 + 6 + 9 + 29 + 492 + 96 + 3 + 6 + 8 = 666.

863692949296368 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863692949296369) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47479126153 + ... + 47479144343.

It is an arithmetic number, because the mean of its divisors is an integer number (3630321442176).

Almost surely, 2^{863692949296368} 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 863692949296368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306915719183360).

863692949296368 is an abundant number, since it is smaller than the sum of its proper divisors (1750138489070352).

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

863692949296368 is a wasteful number, since it uses less digits than its factorization.

863692949296368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490 (or 18450 counting only the distinct ones).

The product of its digits is 78364164096, while the sum is 90.

The spelling of 863692949296368 in words is "eight hundred sixty-three trillion, six hundred ninety-two billion, nine hundred forty-nine million, two hundred ninety-six thousand, three hundred sixty-eight".