98269083441 has 45 divisors (see below), whose sum is σ = 149504814459. Its totient is φ = 64325890800.

The previous prime is 98269083439. The next prime is 98269083499. The reversal of 98269083441 is 14438096289.

The square root of 98269083441 is 313479.

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

98269083441 is a `hidden beast` number, since 98 + 26 + 90 + 8 + 3 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3195527841 + 95073555600 = 56529^2 + 308340^2 .

It is not a de Polignac number, because 98269083441 - 2¹ = 98269083439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98269083841) 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 44 ways as a sum of consecutive naturals, for example, 172099686 + ... + 172100256.

Almost surely, 2^98269083441 is an apocalyptic number.

98269083441 is the 313479-th square number.

98269083441 is the 156740-th centered octagonal number.

It is an amenable number.

98269083441 is a deficient number, since it is larger than the sum of its proper divisors (51235731018).

98269083441 is an frugal number, since it uses more digits than its factorization.

98269083441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 98269083441 in words is "ninety-eight billion, two hundred sixty-nine million, eighty-three thousand, four hundred forty-one".