97416445980529 has 9 divisors (see below), whose sum is σ = 105486586361793. Its totient is φ = 89922754773072.

The previous prime is 97416445980527. The next prime is 97416445980617. The reversal of 97416445980529 is 92508954461479.

The square root of 97416445980529 is 9869977.

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

It can be written as a sum of positive squares in 4 ways, for example, as 52266754680625 + 45149691299904 = 7229575^2 + 6719352^2 .

It is not a de Polignac number, because 97416445980529 - 2¹ = 97416445980527 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97416445980527) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127930087 + ... + 128689315.

It is an arithmetic number, because the mean of its divisors is an integer number (11720731817977).

Almost surely, 2^{97416445980529} is an apocalyptic number.

97416445980529 is the 9869977-th square number.

97416445980529 is the 4934989-th centered octagonal number.

It is an amenable number.

97416445980529 is a deficient number, since it is larger than the sum of its proper divisors (8070140381264).

97416445980529 is an frugal number, since it uses more digits than its factorization.

97416445980529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518484 (or 759242 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 73.

The spelling of 97416445980529 in words is "ninety-seven trillion, four hundred sixteen billion, four hundred forty-five million, nine hundred eighty thousand, five hundred twenty-nine".