97645544243776 has 189 divisors, whose sum is σ = 202642199159673. Its totient is φ = 46682146076160.

The previous prime is 97645544243773. The next prime is 97645544243941. The reversal of 97645544243776 is 67734244554679.

The square root of 97645544243776 is 9881576.

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., 51202954829376 + 46442589414400 = 7155624^2 + 6814880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97645544243699 and 97645544243708.

It is not an unprimeable number, because it can be changed into a prime (97645544243773) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 437872395601 + ... + 437872395823.

Almost surely, 2^{97645544243776} is an apocalyptic number.

97645544243776 is the 9881576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97645544243776

97645544243776 is an abundant number, since it is smaller than the sum of its proper divisors (104996654915897).

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

97645544243776 is an frugal number, since it uses more digits than its factorization.

97645544243776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 445 counting only the distinct ones).

The product of its digits is 4267468800, while the sum is 73.

The spelling of 97645544243776 in words is "ninety-seven trillion, six hundred forty-five billion, five hundred forty-four million, two hundred forty-three thousand, seven hundred seventy-six".