98559445699521 has 189 divisors, whose sum is σ = 161030961475059. Its totient is φ = 60282967312512.

The previous prime is 98559445699501. The next prime is 98559445699613. The reversal of 98559445699521 is 12599654495589.

The square root of 98559445699521 is 9927711.

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

98559445699521 is a `hidden beast` number, since 9 + 8 + 5 + 5 + 9 + 44 + 569 + 9 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76733132465025 + 21826313234496 = 8759745^2 + 4671864^2 .

It is not a de Polignac number, because 98559445699521 - 2⁵ = 98559445699489 is a prime.

It is a super-4 number, since 4×98559445699521⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (98559445699501) 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 188 ways as a sum of consecutive naturals, for example, 195943231756 + ... + 195943232258.

Almost surely, 2^{98559445699521} is an apocalyptic number.

98559445699521 is the 9927711-st square number.

98559445699521 is the 4963856-th centered octagonal number.

It is an amenable number.

98559445699521 is a deficient number, since it is larger than the sum of its proper divisors (62471515775538).

98559445699521 is an frugal number, since it uses more digits than its factorization.

98559445699521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 566 counting only the distinct ones).

The product of its digits is 6298560000, while the sum is 81.

98559445699521 divided by its sum of digits (81) gives a square (1216783280241 = 1103079²).

The spelling of 98559445699521 in words is "ninety-eight trillion, five hundred fifty-nine billion, four hundred forty-five million, six hundred ninety-nine thousand, five hundred twenty-one".