98964000941 has 16 divisors (see below), whose sum is σ = 106853921328. Its totient is φ = 91113984000.

The previous prime is 98964000901. The next prime is 98964000943. The reversal of 98964000941 is 14900046989.

98964000941 = 222445² + 222446².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14347008841 + 84616992100 = 119779^2 + 290890^2 .

It is not a de Polignac number, because 98964000941 - 2¹⁰ = 98963999917 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 98964000941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98964000943) 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 15 ways as a sum of consecutive naturals, for example, 9753731 + ... + 9763871.

It is an arithmetic number, because the mean of its divisors is an integer number (6678370083).

Almost surely, 2^98964000941 is an apocalyptic number.

98964000941 is the 222446-th centered square number.

It is an amenable number.

98964000941 is a deficient number, since it is larger than the sum of its proper divisors (7889920387).

98964000941 is a wasteful number, since it uses less digits than its factorization.

98964000941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032.

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 98964000941 in words is "ninety-eight billion, nine hundred sixty-four million, nine hundred forty-one", and thus it is an aban number.