98621749681 has 135 divisors (see below), whose sum is σ = 137063156451. Its totient is φ = 70907945472.

The previous prime is 98621749679. The next prime is 98621749687. The reversal of 98621749681 is 18694712689.

The square root of 98621749681 is 314041.

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

It can be written as a sum of positive squares in 13 ways, for example, as 56268109681 + 42353640000 = 237209^2 + 205800^2 .

It is not a de Polignac number, because 98621749681 - 2¹ = 98621749679 is a prime.

It is a super-2 number, since 2×98621749681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98621749687) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3400749975 + ... + 3400750003.

Almost surely, 2^98621749681 is an apocalyptic number.

98621749681 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

98621749681 is the 314041-st square number.

98621749681 is the 157021-st centered octagonal number.

It is an amenable number.

98621749681 is a deficient number, since it is larger than the sum of its proper divisors (38441406770).

98621749681 is an equidigital number, since it uses as much as digits as its factorization.

98621749681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 66 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 61.

The spelling of 98621749681 in words is "ninety-eight billion, six hundred twenty-one million, seven hundred forty-nine thousand, six hundred eighty-one".