89340757696576 has 63 divisors (see below), whose sum is σ = 183193742174013. Its totient is φ = 43228264642560.

The previous prime is 89340757696573. The next prime is 89340757696601. The reversal of 89340757696576 is 67569675704398.

It is a happy number.

The square root of 89340757696576 is 9452024.

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., 51244408590400 + 38096349106176 = 7158520^2 + 6172224^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 89340757696576.

It is not an unprimeable number, because it can be changed into a prime (89340757696573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2344082896 + ... + 2344121008.

Almost surely, 2^{89340757696576} is an apocalyptic number.

89340757696576 is the 9452024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89340757696576

89340757696576 is an abundant number, since it is smaller than the sum of its proper divisors (93852984477437).

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

89340757696576 is an frugal number, since it uses more digits than its factorization.

89340757696576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76300 (or 38146 counting only the distinct ones).

The product of its (nonzero) digits is 14402707200, while the sum is 82.

The spelling of 89340757696576 in words is "eighty-nine trillion, three hundred forty billion, seven hundred fifty-seven million, six hundred ninety-six thousand, five hundred seventy-six".