84434896416 has 192 divisors, whose sum is σ = 247977870336. Its totient is φ = 24979968000.

The previous prime is 84434896391. The next prime is 84434896417. The reversal of 84434896416 is 61469843448.

It is not an unprimeable number, because it can be changed into a prime (84434896417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6067066 + ... + 6080966.

It is an arithmetic number, because the mean of its divisors is an integer number (1291551408).

Almost surely, 2^84434896416 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 84434896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123988935168).

84434896416 is an abundant number, since it is smaller than the sum of its proper divisors (163542973920).

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

84434896416 is a wasteful number, since it uses less digits than its factorization.

84434896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14115 (or 14107 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 57.

The spelling of 84434896416 in words is "eighty-four billion, four hundred thirty-four million, eight hundred ninety-six thousand, four hundred sixteen".