98188221546009 has 81 divisors (see below), whose sum is σ = 165544616279133. Its totient is φ = 55917183518784.

The previous prime is 98188221546007. The next prime is 98188221546053. The reversal of 98188221546009 is 90064512288189.

The square root of 98188221546009 is 9908997.

It is a perfect power (a square), and thus also a powerful number.

98188221546009 is a `hidden beast` number, since 9 + 8 + 1 + 8 + 8 + 2 + 2 + 15 + 4 + 600 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56398823307225 + 41789398238784 = 7509915^2 + 6464472^2 .

It is not a de Polignac number, because 98188221546009 - 2¹ = 98188221546007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (98188221546007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80946595887 + ... + 80946597099.

Almost surely, 2^{98188221546009} is an apocalyptic number.

98188221546009 is the 9908997-th square number.

98188221546009 is the 4954499-th centered octagonal number.

It is an amenable number.

98188221546009 is a deficient number, since it is larger than the sum of its proper divisors (67356394733124).

98188221546009 is an frugal number, since it uses more digits than its factorization.

98188221546009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 98188221546009 in words is "ninety-eight trillion, one hundred eighty-eight billion, two hundred twenty-one million, five hundred forty-six thousand, nine".