4973965997121 has 81 divisors (see below), whose sum is σ = 8337000205443. Its totient is φ = 2855062758240.

The previous prime is 4973965997107. The next prime is 4973965997137. The reversal of 4973965997121 is 1217995693794.

The square root of 4973965997121 is 2230239.

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

4973965997121 is a `hidden beast` number, since 4 + 9 + 7 + 3 + 9 + 6 + 599 + 7 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 609359778225 + 4364606218896 = 780615^2 + 2089164^2 .

It is not a de Polignac number, because 4973965997121 - 2⁹ = 4973965996609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4973965997121.

It is not an unprimeable number, because it can be changed into a prime (4973965997141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1398358075 + ... + 1398361631.

Almost surely, 2^{4973965997121} is an apocalyptic number.

4973965997121 is the 2230239-th square number.

4973965997121 is the 1115120-th centered octagonal number.

It is an amenable number.

4973965997121 is a deficient number, since it is larger than the sum of its proper divisors (3363034208322).

4973965997121 is an equidigital number, since it uses as much as digits as its factorization.

4973965997121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7180 (or 3590 counting only the distinct ones).

The product of its digits is 231472080, while the sum is 72.

The spelling of 4973965997121 in words is "four trillion, nine hundred seventy-three billion, nine hundred sixty-five million, nine hundred ninety-seven thousand, one hundred twenty-one".