868114944 has 120 divisors (see below), whose sum is σ = 2614689792. Its totient is φ = 276756480.

The previous prime is 868114939. The next prime is 868114969. The reversal of 868114944 is 449411868.

868114944 is a `hidden beast` number, since 86 + 81 + 1 + 494 + 4 = 666.

It is a super-3 number, since 3×868114944³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 868114944.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 101889 + ... + 110079.

Almost surely, 2^868114944 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 868114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307344896).

868114944 is an abundant number, since it is smaller than the sum of its proper divisors (1746574848).

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

868114944 is a wasteful number, since it uses less digits than its factorization.

868114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8219 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 868114944 is about 29463.7903875248. The cubic root of 868114944 is about 953.9502894604.

The spelling of 868114944 in words is "eight hundred sixty-eight million, one hundred fourteen thousand, nine hundred forty-four".