863123630688 has 144 divisors (see below), whose sum is σ = 2678645970000. Its totient is φ = 261454832640.

The previous prime is 863123630669. The next prime is 863123630701. The reversal of 863123630688 is 886036321368.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8659278 + ... + 8758386.

It is an arithmetic number, because the mean of its divisors is an integer number (18601708125).

Almost surely, 2^863123630688 is an apocalyptic number.

863123630688 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 863123630688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339322985000).

863123630688 is an abundant number, since it is smaller than the sum of its proper divisors (1815522339312).

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

863123630688 is a wasteful number, since it uses less digits than its factorization.

863123630688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101885 (or 101874 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 863123630688 in words is "eight hundred sixty-three billion, one hundred twenty-three million, six hundred thirty thousand, six hundred eighty-eight".