9867338477824 has 81 divisors (see below), whose sum is σ = 20789343087093. Its totient is φ = 4673550099456.

The previous prime is 9867338477779. The next prime is 9867338477837. The reversal of 9867338477824 is 4287748337689.

The square root of 9867338477824 is 3141232.

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., 7279204000000 + 2588134477824 = 2698000^2 + 1608768^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 954929362 + ... + 954939694.

Almost surely, 2^{9867338477824} is an apocalyptic number.

9867338477824 is the 3141232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9867338477824

9867338477824 is an abundant number, since it is smaller than the sum of its proper divisors (10922004609269).

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

9867338477824 is an frugal number, since it uses more digits than its factorization.

9867338477824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20720 (or 10354 counting only the distinct ones).

The product of its digits is 2731180032, while the sum is 76.

The spelling of 9867338477824 in words is "nine trillion, eight hundred sixty-seven billion, three hundred thirty-eight million, four hundred seventy-seven thousand, eight hundred twenty-four".