864360684100 has 81 divisors (see below), whose sum is σ = 1888397943607. Its totient is φ = 343412560960.

The previous prime is 864360684049. The next prime is 864360684151. The reversal of 864360684100 is 1486063468.

The square root of 864360684100 is 929710.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (864360684049) and next prime (864360684151).

It can be written as a sum of positive squares in 4 ways, for example, as 143681934916 + 720678749184 = 379054^2 + 848928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2222006706 + ... + 2222007094.

Almost surely, 2^864360684100 is an apocalyptic number.

864360684100 is the 929710-th square number.

It is an amenable number.

864360684100 is an abundant number, since it is smaller than the sum of its proper divisors (1024037259507).

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

864360684100 is an equidigital number, since it uses as much as digits as its factorization.

864360684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 864360684100 in words is "eight hundred sixty-four billion, three hundred sixty million, six hundred eighty-four thousand, one hundred".