98749354927441 has 27 divisors (see below), whose sum is σ = 100777265022033. Its totient is φ = 96761990162880.

The previous prime is 98749354927423. The next prime is 98749354927453. The reversal of 98749354927441 is 14472945394789.

The square root of 98749354927441 is 9937271.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42019837317441 + 56729517610000 = 6482271^2 + 7531900^2 .

It is not a de Polignac number, because 98749354927441 - 2⁵ = 98749354927409 is a prime.

It is a super-2 number, since 2×98749354927441² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98749354997441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 142907893906 + ... + 142907894596.

Almost surely, 2^{98749354927441} is an apocalyptic number.

98749354927441 is the 9937271-st square number.

98749354927441 is the 4968636-th centered octagonal number.

It is an amenable number.

98749354927441 is a deficient number, since it is larger than the sum of its proper divisors (2027910094592).

98749354927441 is an frugal number, since it uses more digits than its factorization.

98749354927441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 961 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 76.

The spelling of 98749354927441 in words is "ninety-eight trillion, seven hundred forty-nine billion, three hundred fifty-four million, nine hundred twenty-seven thousand, four hundred forty-one".