10218839742864 has 105 divisors (see below), whose sum is σ = 29685926377083. Its totient is φ = 3406164833376.

The previous prime is 10218839742857. The next prime is 10218839742899. The reversal of 10218839742864 is 46824793881201.

It is a happy number.

The square root of 10218839742864 is 3196692.

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

10218839742864 is a `hidden beast` number, since 1 + 0 + 2 + 188 + 397 + 4 + 2 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 345227937 + ... + 345257535.

Almost surely, 2^{10218839742864} is an apocalyptic number.

10218839742864 is the 3196692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218839742864

10218839742864 is an abundant number, since it is smaller than the sum of its proper divisors (19467086634219).

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

10218839742864 is an frugal number, since it uses more digits than its factorization.

10218839742864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59224 (or 29604 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 10218839742864 in words is "ten trillion, two hundred eighteen billion, eight hundred thirty-nine million, seven hundred forty-two thousand, eight hundred sixty-four".