9972944661 has 8 divisors (see below), whose sum is σ = 13311014464. Its totient is φ = 6641752320.

The previous prime is 9972944629. The next prime is 9972944669. The reversal of 9972944661 is 1664492799.

9972944661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9972944661 - 2⁵ = 9972944629 is a prime.

It is a super-2 number, since 2×9972944661² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972944669) 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 7 ways as a sum of consecutive naturals, for example, 1715980 + ... + 1721781.

It is an arithmetic number, because the mean of its divisors is an integer number (1663876808).

Almost surely, 2^9972944661 is an apocalyptic number.

It is an amenable number.

9972944661 is a deficient number, since it is larger than the sum of its proper divisors (3338069803).

9972944661 is a wasteful number, since it uses less digits than its factorization.

9972944661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438731.

The product of its digits is 5878656, while the sum is 57.

The square root of 9972944661 is about 99864.6316820925. The cubic root of 9972944661 is about 2152.4899697774.

The spelling of 9972944661 in words is "nine billion, nine hundred seventy-two million, nine hundred forty-four thousand, six hundred sixty-one".