972434626641 has 21 divisors (see below), whose sum is σ = 1458024895929. Its totient is φ = 648272000916.

The previous prime is 972434626621. The next prime is 972434626649. The reversal of 972434626641 is 146626434279.

The square root of 972434626641 is 986121.

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

972434626641 is a `hidden beast` number, since 9 + 7 + 2 + 4 + 3 + 4 + 626 + 6 + 4 + 1 = 666.

972434626641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972434626641 - 2⁹ = 972434626129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972434626649) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 26607006 + ... + 26643528.

It is an arithmetic number, because the mean of its divisors is an integer number (69429756949).

Almost surely, 2^972434626641 is an apocalyptic number.

972434626641 is the 986121-st square number.

972434626641 is the 493061-st centered octagonal number.

It is an amenable number.

972434626641 is a deficient number, since it is larger than the sum of its proper divisors (485590269288).

972434626641 is an frugal number, since it uses more digits than its factorization.

972434626641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73064 (or 36526 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 972434626641 in words is "nine hundred seventy-two billion, four hundred thirty-four million, six hundred twenty-six thousand, six hundred forty-one".