89336427664 has 45 divisors (see below), whose sum is σ = 190283224089. Its totient is φ = 40601489280.

The previous prime is 89336427629. The next prime is 89336427667. The reversal of 89336427664 is 46672463398.

It is a happy number.

The square root of 89336427664 is 298892.

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., 9242899600 + 80093528064 = 96140^2 + 283008^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89336427599 and 89336427608.

It is not an unprimeable number, because it can be changed into a prime (89336427667) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13147852 + ... + 13154644.

Almost surely, 2^89336427664 is an apocalyptic number.

89336427664 is the 298892-nd square number.

It is an amenable number.

89336427664 is an abundant number, since it is smaller than the sum of its proper divisors (100946796425).

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

89336427664 is an frugal number, since it uses more digits than its factorization.

89336427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13616 (or 6806 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 58.

The spelling of 89336427664 in words is "eighty-nine billion, three hundred thirty-six million, four hundred twenty-seven thousand, six hundred sixty-four".