868392293868 has 144 divisors (see below), whose sum is σ = 2522721801600. Its totient is φ = 249098492160.

The previous prime is 868392293861. The next prime is 868392293869.

868392293868 is a `hidden beast` number, since 86 + 83 + 92 + 2 + 9 + 386 + 8 = 666.

868392293868 is nontrivially palindromic in base 10.

868392293868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 868392293796 and 868392293805.

It is not an unprimeable number, because it can be changed into a prime (868392293861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9426880 + ... + 9518552.

It is an arithmetic number, because the mean of its divisors is an integer number (17518901400).

Almost surely, 2^868392293868 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 868392293868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261360900800).

868392293868 is an abundant number, since it is smaller than the sum of its proper divisors (1654329507732).

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

868392293868 is a wasteful number, since it uses less digits than its factorization.

868392293868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92972 (or 92967 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 868392293868 in words is "eight hundred sixty-eight billion, three hundred ninety-two million, two hundred ninety-three thousand, eight hundred sixty-eight".