84444260096 has 144 divisors (see below), whose sum is σ = 196239697920. Its totient is φ = 35518586880.

The previous prime is 84444260077. The next prime is 84444260099. The reversal of 84444260096 is 69006244448.

It is a self number, because there is not a number n which added to its sum of digits gives 84444260096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84444260099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30407060 + ... + 30409836.

It is an arithmetic number, because the mean of its divisors is an integer number (1362775680).

Almost surely, 2^84444260096 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 84444260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98119848960).

84444260096 is an abundant number, since it is smaller than the sum of its proper divisors (111795437824).

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

84444260096 is a wasteful number, since it uses less digits than its factorization.

84444260096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 84444260096 in words is "eighty-four billion, four hundred forty-four million, two hundred sixty thousand, ninety-six".