98143731841 has 9 divisors (see below), whose sum is σ = 100879869699. Its totient is φ = 95479920504.

The previous prime is 98143731799. The next prime is 98143731863. The reversal of 98143731841 is 14813734189.

The square root of 98143731841 is 313279.

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., 87820359025 + 10323372816 = 296345^2 + 101604^2 .

It is not a de Polignac number, because 98143731841 - 2³⁵ = 63783993473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98143731341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11587090 + ... + 11595556.

It is an arithmetic number, because the mean of its divisors is an integer number (11208874411).

Almost surely, 2^98143731841 is an apocalyptic number.

98143731841 is the 313279-th square number.

98143731841 is the 156640-th centered octagonal number.

It is an amenable number.

98143731841 is a deficient number, since it is larger than the sum of its proper divisors (2736137858).

98143731841 is an frugal number, since it uses more digits than its factorization.

98143731841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17008 (or 8504 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

Multiplying 98143731841 by its sum of digits (49), we get a square (4809042860209 = 2192953²).

The spelling of 98143731841 in words is "ninety-eight billion, one hundred forty-three million, seven hundred thirty-one thousand, eight hundred forty-one".