84113449728 has 576 divisors, whose sum is σ = 305167564800. Its totient is φ = 19891814400.

The previous prime is 84113449709. The next prime is 84113449729. The reversal of 84113449728 is 82794431148.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (84113449729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31163323 + ... + 31166021.

It is an arithmetic number, because the mean of its divisors is an integer number (529804800).

Almost surely, 2^84113449728 is an apocalyptic number.

84113449728 is a gapful number since it is divisible by the number (88) 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 84113449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152583782400).

84113449728 is an abundant number, since it is smaller than the sum of its proper divisors (221054115072).

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

84113449728 is a wasteful number, since it uses less digits than its factorization.

84113449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2770 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 84113449728 in words is "eighty-four billion, one hundred thirteen million, four hundred forty-nine thousand, seven hundred twenty-eight".