984142728763205 has 64 divisors (see below), whose sum is σ = 1304645409220608. Its totient is φ = 706738532002560.

The previous prime is 984142728763177. The next prime is 984142728763211. The reversal of 984142728763205 is 502367827241489.

It is not a de Polignac number, because 984142728763205 - 2¹⁰ = 984142728762181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3034571039 + ... + 3034895331.

It is an arithmetic number, because the mean of its divisors is an integer number (20385084519072).

It is a 1-persistent number, because it is pandigital, but 2⋅984142728763205 = 1968285457526410 is not.

Almost surely, 2^{984142728763205} is an apocalyptic number.

It is an amenable number.

984142728763205 is a deficient number, since it is larger than the sum of its proper divisors (320502680457403).

984142728763205 is a wasteful number, since it uses less digits than its factorization.

984142728763205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326666.

The product of its (nonzero) digits is 325140480, while the sum is 68.

The spelling of 984142728763205 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 five".