10066482163984 has 135 divisors (see below), whose sum is σ = 20829316723173. Its totient is φ = 4712251738752.

The previous prime is 10066482163939. The next prime is 10066482163987. The reversal of 10066482163984 is 48936128466001.

The square root of 10066482163984 is 3172772.

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

It can be written as a sum of positive squares in only one way, i.e., 7016289773584 + 3050192390400 = 2648828^2 + 1746480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10066482163987) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26283243057 + ... + 26283243439.

Almost surely, 2^{10066482163984} is an apocalyptic number.

10066482163984 is the 3172772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066482163984

10066482163984 is an abundant number, since it is smaller than the sum of its proper divisors (10762834559189).

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

10066482163984 is an frugal number, since it uses more digits than its factorization.

10066482163984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 10066482163984 in words is "ten trillion, sixty-six billion, four hundred eighty-two million, one hundred sixty-three thousand, nine hundred eighty-four".