86444066144 has 48 divisors (see below), whose sum is σ = 174873522096. Its totient is φ = 42032908800.

The previous prime is 86444066123. The next prime is 86444066161. The reversal of 86444066144 is 44166044468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505974 + ... + 2540234.

It is an arithmetic number, because the mean of its divisors is an integer number (3643198377).

Almost surely, 2^86444066144 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 86444066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87436761048).

86444066144 is an abundant number, since it is smaller than the sum of its proper divisors (88429455952).

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

86444066144 is a wasteful number, since it uses less digits than its factorization.

86444066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36439 (or 36431 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 47.

The spelling of 86444066144 in words is "eighty-six billion, four hundred forty-four million, sixty-six thousand, one hundred forty-four".