98238991761 has 27 divisors (see below), whose sum is σ = 142908849993. Its totient is φ = 65030663880.

The previous prime is 98238991727. The next prime is 98238991867. The reversal of 98238991761 is 16719983289.

The square root of 98238991761 is 313431.

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

98238991761 is a `hidden beast` number, since 9 + 82 + 389 + 9 + 176 + 1 = 666.

It is not a de Polignac number, because 98238991761 - 2³⁵ = 63879253393 is a prime.

It is a super-3 number, since 3×98238991761³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (98238991061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179595690 + ... + 179596236.

Almost surely, 2^98238991761 is an apocalyptic number.

98238991761 is the 313431-st square number.

98238991761 is the 156716-th centered octagonal number.

It is an amenable number.

98238991761 is a deficient number, since it is larger than the sum of its proper divisors (44669858232).

98238991761 is an frugal number, since it uses more digits than its factorization.

98238991761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 98238991761 in words is "ninety-eight billion, two hundred thirty-eight million, nine hundred ninety-one thousand, seven hundred sixty-one".