98126189001 has 9 divisors (see below), whose sum is σ = 141739185991. Its totient is φ = 65416832832.

The previous prime is 98126188999. The next prime is 98126189011. The reversal of 98126189001 is 10098162189.

The square root of 98126189001 is 313251.

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., 16229486025 + 81896702976 = 127395^2 + 286176^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 98126189001 - 2¹ = 98126188999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98126189011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 887545 + ... + 991961.

Almost surely, 2^98126189001 is an apocalyptic number.

98126189001 is the 313251-st square number.

98126189001 is the 156626-th centered octagonal number.

It is an amenable number.

98126189001 is a deficient number, since it is larger than the sum of its proper divisors (43612996990).

98126189001 is an frugal number, since it uses more digits than its factorization.

98126189001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208840 (or 104420 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 98126189001 in words is "ninety-eight billion, one hundred twenty-six million, one hundred eighty-nine thousand, one".