89446662144 has 360 divisors, whose sum is σ = 297498146400. Its totient is φ = 25367150592.

The previous prime is 89446662131. The next prime is 89446662157. The reversal of 89446662144 is 44126664498.

It is an interprime number because it is at equal distance from previous prime (89446662131) and next prime (89446662157).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199212832 + ... + 199213280.

It is an arithmetic number, because the mean of its divisors is an integer number (826383740).

Almost surely, 2^89446662144 is an apocalyptic number.

89446662144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89446662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148749073200).

89446662144 is an abundant number, since it is smaller than the sum of its proper divisors (208051484256).

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

89446662144 is a wasteful number, since it uses less digits than its factorization.

89446662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 654 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 89446662144 in words is "eighty-nine billion, four hundred forty-six million, six hundred sixty-two thousand, one hundred forty-four".