89521742097649 has 27 divisors (see below), whose sum is σ = 91241394603723. Its totient is φ = 87834314294064.

The previous prime is 89521742097631. The next prime is 89521742097691. The reversal of 89521742097649 is 94679024712598.

The square root of 89521742097649 is 9461593.

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., 83376201937249 + 6145540160400 = 9131057^2 + 2479020^2 .

It is not a de Polignac number, because 89521742097649 - 2⁷ = 89521742097521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89521742097629) 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, 171169678702 + ... + 171169679224.

It is an arithmetic number, because the mean of its divisors is an integer number (3379310911249).

Almost surely, 2^{89521742097649} is an apocalyptic number.

89521742097649 is the 9461593-rd square number.

89521742097649 is the 4730797-th centered octagonal number.

It is an amenable number.

89521742097649 is a deficient number, since it is larger than the sum of its proper divisors (1719652506074).

89521742097649 is an frugal number, since it uses more digits than its factorization.

89521742097649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 73.

The spelling of 89521742097649 in words is "eighty-nine trillion, five hundred twenty-one billion, seven hundred forty-two million, ninety-seven thousand, six hundred forty-nine".