86444820224 has 72 divisors (see below), whose sum is σ = 197297492448. Its totient is φ = 37029888000.

The previous prime is 86444820211. The next prime is 86444820229. The reversal of 86444820224 is 42202844468.

It is a Cunningham number, because it is equal to 294015²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86444820229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4105724 + ... + 4126724.

Almost surely, 2^86444820224 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 86444820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98648746224).

86444820224 is an abundant number, since it is smaller than the sum of its proper divisors (110852672224).

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

86444820224 is a wasteful number, since it uses less digits than its factorization.

86444820224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23321 (or 23307 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 44.

The spelling of 86444820224 in words is "eighty-six billion, four hundred forty-four million, eight hundred twenty thousand, two hundred twenty-four".