90489438564 has 144 divisors (see below), whose sum is σ = 251952757056. Its totient is φ = 25189920000.

The previous prime is 90489438511. The next prime is 90489438577. The reversal of 90489438564 is 46583498409.

It is a junction number, because it is equal to n+sod(n) for n = 90489438498 and 90489438507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10640314 + ... + 10648814.

It is an arithmetic number, because the mean of its divisors is an integer number (1749671924).

Almost surely, 2^90489438564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90489438564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125976378528).

90489438564 is an abundant number, since it is smaller than the sum of its proper divisors (161463318492).

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

90489438564 is a wasteful number, since it uses less digits than its factorization.

90489438564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 90489438564 in words is "ninety billion, four hundred eighty-nine million, four hundred thirty-eight thousand, five hundred sixty-four".