89465888856498 has 128 divisors (see below), whose sum is σ = 223926570233856. Its totient is φ = 23150263449600.

The previous prime is 89465888856481. The next prime is 89465888856499.

It is a happy number.

89465888856498 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×89465888856498³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (89465888856499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132889786 + ... + 133561322.

It is an arithmetic number, because the mean of its divisors is an integer number (1749426329952).

Almost surely, 2^{89465888856498} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89465888856498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111963285116928).

89465888856498 is an abundant number, since it is smaller than the sum of its proper divisors (134460681377358).

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

89465888856498 is a wasteful number, since it uses less digits than its factorization.

89465888856498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672648.

The product of its digits is 305764761600, while the sum is 96.

The spelling of 89465888856498 in words is "eighty-nine trillion, four hundred sixty-five billion, eight hundred eighty-eight million, eight hundred fifty-six thousand, four hundred ninety-eight".