10868942988864 has 147 divisors (see below), whose sum is σ = 32339414019163. Its totient is φ = 3622743626112.

The previous prime is 10868942988853. The next prime is 10868942988923. The reversal of 10868942988864 is 46888924986801.

The square root of 10868942988864 is 3296808.

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

10868942988864 is a `hidden beast` number, since 108 + 6 + 8 + 9 + 429 + 8 + 8 + 86 + 4 = 666.

10868942988864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10868942988864³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

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, 712102897 + ... + 712118159.

Almost surely, 2^{10868942988864} is an apocalyptic number.

10868942988864 is the 3296808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10868942988864

10868942988864 is an abundant number, since it is smaller than the sum of its proper divisors (21470471030299).

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

10868942988864 is an frugal number, since it uses more digits than its factorization.

10868942988864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30556 (or 15268 counting only the distinct ones).

The product of its (nonzero) digits is 3057647616, while the sum is 81.

Multiplying 10868942988864 by its sum of digits (81), we get a square (880384382097984 = 29671272²).

10868942988864 divided by its sum of digits (81) gives a square (134184481344 = 366312²).

The spelling of 10868942988864 in words is "ten trillion, eight hundred sixty-eight billion, nine hundred forty-two million, nine hundred eighty-eight thousand, eight hundred sixty-four".