863364332106 has 144 divisors (see below), whose sum is σ = 1989278823168. Its totient is φ = 270334195200.

The previous prime is 863364332099. The next prime is 863364332119. The reversal of 863364332106 is 601233463368.

863364332106 is a `hidden beast` number, since 8 + 633 + 6 + 4 + 3 + 3 + 2 + 1 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 399519666 + ... + 399521826.

It is an arithmetic number, because the mean of its divisors is an integer number (13814436272).

Almost surely, 2^863364332106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863364332106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994639411584).

863364332106 is an abundant number, since it is smaller than the sum of its proper divisors (1125914491062).

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

863364332106 is a wasteful number, since it uses less digits than its factorization.

863364332106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 863364332106 in words is "eight hundred sixty-three billion, three hundred sixty-four million, three hundred thirty-two thousand, one hundred six".