863168861368 has 128 divisors (see below), whose sum is σ = 1968570604800. Its totient is φ = 349701580800.

The previous prime is 863168861353. The next prime is 863168861377.

863168861368 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114459678 + ... + 114467218.

It is an arithmetic number, because the mean of its divisors is an integer number (15379457850).

Almost surely, 2^863168861368 is an apocalyptic number.

863168861368 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 863168861368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984285302400).

863168861368 is an abundant number, since it is smaller than the sum of its proper divisors (1105401743432).

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

863168861368 is a wasteful number, since it uses less digits than its factorization.

863168861368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11621 (or 11617 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 64.

The spelling of 863168861368 in words is "eight hundred sixty-three billion, one hundred sixty-eight million, eight hundred sixty-one thousand, three hundred sixty-eight".