97502274456976 has 135 divisors (see below), whose sum is σ = 196924780176033. Its totient is φ = 46766378355840.

The previous prime is 97502274456953. The next prime is 97502274457051. The reversal of 97502274456976 is 67965447220579.

The square root of 97502274456976 is 9874324.

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

It can be written as a sum of positive squares in only one way, i.e., 70289108499600 + 27213165957376 = 8383860^2 + 5216624^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97502274456899 and 97502274456908.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98387763841 + ... + 98387764831.

Almost surely, 2^{97502274456976} is an apocalyptic number.

97502274456976 is the 9874324-th square number.

It is an amenable number.

97502274456976 is an abundant number, since it is smaller than the sum of its proper divisors (99422505719057).

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

97502274456976 is an frugal number, since it uses more digits than its factorization.

97502274456976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 73.

The spelling of 97502274456976 in words is "ninety-seven trillion, five hundred two billion, two hundred seventy-four million, four hundred fifty-six thousand, nine hundred seventy-six".