861323323168 has 384 divisors, whose sum is σ = 2239846318080. Its totient is φ = 316293120000.

The previous prime is 861323323141. The next prime is 861323323193.

861323323168 is nontrivially palindromic in base 10.

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 63 ways as a sum of consecutive naturals, for example, 611300448 + ... + 611301856.

It is an arithmetic number, because the mean of its divisors is an integer number (5832933120).

Almost surely, 2^861323323168 is an apocalyptic number.

861323323168 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 861323323168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119923159040).

861323323168 is an abundant number, since it is smaller than the sum of its proper divisors (1378522994912).

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

861323323168 is a wasteful number, since it uses less digits than its factorization.

861323323168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 861323323168 in words is "eight hundred sixty-one billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred sixty-eight".