89506812326416 has 15 divisors (see below), whose sum is σ = 173419522203693. Its totient is φ = 44753387241600.

The previous prime is 89506812326389. The next prime is 89506812326417. The reversal of 89506812326416 is 61462321860598.

The square root of 89506812326416 is 9460804.

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., 1294142860816 + 88212669465600 = 1137604^2 + 9392160^2 .

It is a super-2 number, since 2×89506812326416² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89506812326417) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 36660616 + ... + 39025816.

Almost surely, 2^{89506812326416} is an apocalyptic number.

89506812326416 is the 9460804-th square number.

It is an amenable number.

89506812326416 is a deficient number, since it is larger than the sum of its proper divisors (83912709877277).

89506812326416 is an frugal number, since it uses more digits than its factorization.

89506812326416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730410 (or 2365203 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 89506812326416 in words is "eighty-nine trillion, five hundred six billion, eight hundred twelve million, three hundred twenty-six thousand, four hundred sixteen".