984142728763281 has 24 divisors (see below), whose sum is σ = 1431049615946496. Its totient is φ = 651714267445920.

The previous prime is 984142728763273. The next prime is 984142728763301. The reversal of 984142728763281 is 182367827241489.

984142728763281 is a `hidden beast` number, since 9 + 8 + 4 + 1 + 4 + 2 + 7 + 287 + 63 + 281 = 666.

It is not a de Polignac number, because 984142728763281 - 2³ = 984142728763273 is a prime.

It is a super-2 number, since 2×984142728763281² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (984142728763211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348616875 + ... + 351428528.

It is an arithmetic number, because the mean of its divisors is an integer number (59627067331104).

Almost surely, 2^{984142728763281} is an apocalyptic number.

It is an amenable number.

984142728763281 is a deficient number, since it is larger than the sum of its proper divisors (446906887183215).

984142728763281 is a wasteful number, since it uses less digits than its factorization.

984142728763281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700046453 (or 700046450 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 984142728763281 in words is "nine hundred eighty-four trillion, one hundred forty-two billion, seven hundred twenty-eight million, seven hundred sixty-three thousand, two hundred eighty-one".