984161328625 has 32 divisors (see below), whose sum is σ = 1230190584480. Its totient is φ = 786075673600.

The previous prime is 984161328587. The next prime is 984161328629. The reversal of 984161328625 is 526823161489.

984161328625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 950578200576 + 33583128049 = 974976^2 + 183257^2 .

It is a de Polignac number, because none of the positive numbers 2^k-984161328625 is a prime.

It is not an unprimeable number, because it can be changed into a prime (984161328629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346900707 + ... + 346903543.

It is an arithmetic number, because the mean of its divisors is an integer number (38443455765).

Almost surely, 2^984161328625 is an apocalyptic number.

It is an amenable number.

984161328625 is a deficient number, since it is larger than the sum of its proper divisors (246029255855).

984161328625 is a wasteful number, since it uses less digits than its factorization.

984161328625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6284 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 55.

The spelling of 984161328625 in words is "nine hundred eighty-four billion, one hundred sixty-one million, three hundred twenty-eight thousand, six hundred twenty-five".