97484343509056 has 189 divisors, whose sum is σ = 226672708927869. Its totient is φ = 41475929983488.

The previous prime is 97484343509027. The next prime is 97484343509191. The reversal of 97484343509056 is 65090534348479.

The square root of 97484343509056 is 9873416.

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., 28574156430400 + 68910187078656 = 5345480^2 + 8301216^2 .

It is a super-2 number, since 2×97484343509056² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97484343508982 and 97484343509000.

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, 86807072911 + ... + 86807074033.

Almost surely, 2^{97484343509056} is an apocalyptic number.

97484343509056 is the 9873416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97484343509056

97484343509056 is an abundant number, since it is smaller than the sum of its proper divisors (129188365418813).

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

97484343509056 is an frugal number, since it uses more digits than its factorization.

97484343509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 67.

The spelling of 97484343509056 in words is "ninety-seven trillion, four hundred eighty-four billion, three hundred forty-three million, five hundred nine thousand, fifty-six".