84480042816 has 168 divisors, whose sum is σ = 265694967720. Its totient is φ = 25503289344.

The previous prime is 84480042781. The next prime is 84480042821. The reversal of 84480042816 is 61824008448.

It can be written as a sum of positive squares in 4 ways, for example, as 11903682816 + 72576360000 = 109104^2 + 269400^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290430 + ... + 503298.

It is an arithmetic number, because the mean of its divisors is an integer number (1581517665).

Almost surely, 2^84480042816 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 84480042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132847483860).

84480042816 is an abundant number, since it is smaller than the sum of its proper divisors (181214924904).

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

84480042816 is a wasteful number, since it uses less digits than its factorization.

84480042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212953 (or 212940 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 84480042816 in words is "eighty-four billion, four hundred eighty million, forty-two thousand, eight hundred sixteen".