84064446048 has 288 divisors, whose sum is σ = 248329428480. Its totient is φ = 24875136000.

The previous prime is 84064446047. The next prime is 84064446073.

It is a happy number.

84064446048 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 84064445988 and 84064446006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84064446041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92683611 + ... + 92684517.

It is an arithmetic number, because the mean of its divisors is an integer number (862254960).

Almost surely, 2^84064446048 is an apocalyptic number.

84064446048 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 84064446048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124164714240).

84064446048 is an abundant number, since it is smaller than the sum of its proper divisors (164264982432).

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

84064446048 is a wasteful number, since it uses less digits than its factorization.

84064446048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 84064446048 in words is "eighty-four billion, sixty-four million, four hundred forty-six thousand, forty-eight".