99872380742689 has 9 divisors (see below), whose sum is σ = 99962814800793. Its totient is φ = 99782028451392.

The previous prime is 99872380742633. The next prime is 99872380742711. The reversal of 99872380742689 is 98624708327899.

The square root of 99872380742689 is 9993617.

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 75423232469025 + 24449148273664 = 8684655^2 + 4944608^2 .

It is not a de Polignac number, because 99872380742689 - 2²⁷ = 99872246524961 is a prime.

It is a super-2 number, since 2×99872380742689² (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 (99872380742089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12881768437 + ... + 12881776189.

Almost surely, 2^{99872380742689} is an apocalyptic number.

99872380742689 is the 9993617-th square number.

99872380742689 is the 4996809-th centered octagonal number.

It is an amenable number.

99872380742689 is a deficient number, since it is larger than the sum of its proper divisors (90434058104).

99872380742689 is an frugal number, since it uses more digits than its factorization.

99872380742689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18084 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 82.

The spelling of 99872380742689 in words is "ninety-nine trillion, eight hundred seventy-two billion, three hundred eighty million, seven hundred forty-two thousand, six hundred eighty-nine".