384479899369281 has 27 divisors (see below), whose sum is σ = 555831405952641. Its totient is φ = 256102478429544.

The previous prime is 384479899369271. The next prime is 384479899369301. The reversal of 384479899369281 is 182963998974483.

It is a happy number.

The square root of 384479899369281 is 19608159.

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

384479899369281 is a `hidden beast` number, since 3 + 8 + 4 + 479 + 89 + 9 + 36 + 9 + 28 + 1 = 666.

It is not a de Polignac number, because 384479899369281 - 2⁹ = 384479899368769 is a prime.

It is a super-2 number, since 2×384479899369281² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384479899369191 and 384479899369200.

It is not an unprimeable number, because it can be changed into a prime (384479899369211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99942784500 + ... + 99942788346.

Almost surely, 2^{384479899369281} is an apocalyptic number.

384479899369281 is the 19608159-th square number.

384479899369281 is the 9804080-th centered octagonal number.

It is an amenable number.

384479899369281 is a deficient number, since it is larger than the sum of its proper divisors (171351506583360).

384479899369281 is an frugal number, since it uses more digits than its factorization.

384479899369281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11098 (or 5549 counting only the distinct ones).

The product of its digits is 40633270272, while the sum is 90.

The spelling of 384479899369281 in words is "three hundred eighty-four trillion, four hundred seventy-nine billion, eight hundred ninety-nine million, three hundred sixty-nine thousand, two hundred eighty-one".