998852704417 has 16 divisors (see below), whose sum is σ = 1013404613200. Its totient is φ = 984395317248.

The previous prime is 998852704351. The next prime is 998852704427. The reversal of 998852704417 is 714407258899.

It can be written as a sum of positive squares in 8 ways, for example, as 12328993296 + 986523711121 = 111036^2 + 993239^2 .

It is a 3-Lehmer number, since φ(998852704417) divides (998852704417-1)³.

It is a cyclic number.

It is not a de Polignac number, because 998852704417 - 2³¹ = 996705220769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (998852704427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25607233 + ... + 25646209.

It is an arithmetic number, because the mean of its divisors is an integer number (63337788325).

It is a Poulet number, since it divides 2^998852704416-1.

Almost surely, 2^998852704417 is an apocalyptic number.

998852704417 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

998852704417 is a deficient number, since it is larger than the sum of its proper divisors (14551908783).

998852704417 is a wasteful number, since it uses less digits than its factorization.

998852704417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40180.

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 998852704417 in words is "nine hundred ninety-eight billion, eight hundred fifty-two million, seven hundred four thousand, four hundred seventeen".