9972646180038 has 24 divisors (see below), whose sum is σ = 21607458248376. Its totient is φ = 3324206440800.

The previous prime is 9972646180037. The next prime is 9972646180151. The reversal of 9972646180038 is 8300816462799.

9972646180038 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 6 + 4 + 618 + 0 + 0 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972646180031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12121833 + ... + 12918363.

It is an arithmetic number, because the mean of its divisors is an integer number (900310760349).

Almost surely, 2^{9972646180038} is an apocalyptic number.

9972646180038 is an abundant number, since it is smaller than the sum of its proper divisors (11634812068338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9972646180038 is a wasteful number, since it uses less digits than its factorization.

9972646180038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492100 (or 1492097 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 9972646180038 in words is "nine trillion, nine hundred seventy-two billion, six hundred forty-six million, one hundred eighty thousand, thirty-eight".