868813661184 has 704 divisors, whose sum is σ = 2944774766592. Its totient is φ = 221891788800.

The previous prime is 868813661179. The next prime is 868813661189. The reversal of 868813661184 is 481166318868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (868813661179) and next prime (868813661189).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (868813661189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1605939954 + ... + 1605940494.

Almost surely, 2^868813661184 is an apocalyptic number.

868813661184 is a gapful number since it is divisible by the number (84) 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 868813661184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472387383296).

868813661184 is an abundant number, since it is smaller than the sum of its proper divisors (2075961105408).

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

868813661184 is a wasteful number, since it uses less digits than its factorization.

868813661184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 784 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 60.

The spelling of 868813661184 in words is "eight hundred sixty-eight billion, eight hundred thirteen million, six hundred sixty-one thousand, one hundred eighty-four".