99590001111441 has 45 divisors (see below), whose sum is σ = 149346572848011. Its totient is φ = 66137120930448.

The previous prime is 99590001111427. The next prime is 99590001111443. The reversal of 99590001111441 is 14411110009599.

The square root of 99590001111441 is 9979479.

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

99590001111441 is a `hidden beast` number, since 9 + 9 + 5 + 90 + 0 + 0 + 1 + 111 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17165319041025 + 82424682070416 = 4143105^2 + 9078804^2 .

It is not a de Polignac number, because 99590001111441 - 2¹⁹ = 99590000587153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99590001111443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24878839146 + ... + 24878843148.

Almost surely, 2^{99590001111441} is an apocalyptic number.

99590001111441 is the 9979479-th square number.

99590001111441 is the 4989740-th centered octagonal number.

It is an amenable number.

99590001111441 is a deficient number, since it is larger than the sum of its proper divisors (49756571736570).

99590001111441 is an frugal number, since it uses more digits than its factorization.

99590001111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 99590001111441 in words is "ninety-nine trillion, five hundred ninety billion, one million, one hundred eleven thousand, four hundred forty-one".