89486388144 has 200 divisors, whose sum is σ = 274073386752. Its totient is φ = 28129368960.

The previous prime is 89486388139. The next prime is 89486388149. The reversal of 89486388144 is 44188368498.

89486388144 is a `hidden beast` number, since 8 + 9 + 486 + 3 + 8 + 8 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (89486388139) and next prime (89486388149).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89486388149) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2095227 + ... + 2137509.

Almost surely, 2^89486388144 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 89486388144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137036693376).

89486388144 is an abundant number, since it is smaller than the sum of its proper divisors (184586998608).

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

89486388144 is a wasteful number, since it uses less digits than its factorization.

89486388144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42397 (or 42382 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 89486388144 in words is "eighty-nine billion, four hundred eighty-six million, three hundred eighty-eight thousand, one hundred forty-four".