97308833746576 has 135 divisors (see below), whose sum is σ = 196609155823899. Its totient is φ = 46654621380864.

The previous prime is 97308833746559. The next prime is 97308833746583. The reversal of 97308833746576 is 67564733880379.

It is a happy number.

The square root of 97308833746576 is 9864524.

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 10390952250000 + 86917881496576 = 3223500^2 + 9322976^2 .

It is a super-3 number, since 3×97308833746576³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

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, 316966885015 + ... + 316966885321.

Almost surely, 2^{97308833746576} is an apocalyptic number.

97308833746576 is the 9864524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97308833746576

97308833746576 is an abundant number, since it is smaller than the sum of its proper divisors (99300322077323).

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

97308833746576 is an frugal number, since it uses more digits than its factorization.

97308833746576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3840721920, while the sum is 76.

The spelling of 97308833746576 in words is "ninety-seven trillion, three hundred eight billion, eight hundred thirty-three million, seven hundred forty-six thousand, five hundred seventy-six".