84448104984 has 128 divisors (see below), whose sum is σ = 238263379200. Its totient is φ = 27709597440.

The previous prime is 84448104947. The next prime is 84448104991. The reversal of 84448104984 is 48940184448.

84448104984 is a `hidden beast` number, since 8 + 4 + 448 + 104 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84448104984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5029387 + ... + 5046149.

It is an arithmetic number, because the mean of its divisors is an integer number (1861432650).

Almost surely, 2^84448104984 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 84448104984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119131689600).

84448104984 is an abundant number, since it is smaller than the sum of its proper divisors (153815274216).

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

84448104984 is a wasteful number, since it uses less digits than its factorization.

84448104984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17142 (or 17132 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 84448104984 in words is "eighty-four billion, four hundred forty-eight million, one hundred four thousand, nine hundred eighty-four".