868014824000 has 56 divisors (see below), whose sum is σ = 2149638731448. Its totient is φ = 347205926400.

The previous prime is 868014823987. The next prime is 868014824021. The reversal of 868014824000 is 428410868.

It can be written as a sum of positive squares in 4 ways, for example, as 91546624 + 867923277376 = 9568^2 + 931624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54242927 + ... + 54258926.

Almost surely, 2^868014824000 is an apocalyptic number.

868014824000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

868014824000 is an abundant number, since it is smaller than the sum of its proper divisors (1281623907448).

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

868014824000 is a wasteful number, since it uses less digits than its factorization.

868014824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108501880 (or 108501860 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 868014824000 in words is "eight hundred sixty-eight billion, fourteen million, eight hundred twenty-four thousand".