84234911904 has 768 divisors, whose sum is σ = 308273817600. Its totient is φ = 22271708160.

The previous prime is 84234911903. The next prime is 84234911909. The reversal of 84234911904 is 40911943248.

It is a self number, because there is not a number n which added to its sum of digits gives 84234911904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84234911903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190146307 + ... + 190146749.

It is an arithmetic number, because the mean of its divisors is an integer number (401398200).

Almost surely, 2^84234911904 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 84234911904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154136908800).

84234911904 is an abundant number, since it is smaller than the sum of its proper divisors (224038905696).

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

84234911904 is a wasteful number, since it uses less digits than its factorization.

84234911904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 84234911904 in words is "eighty-four billion, two hundred thirty-four million, nine hundred eleven thousand, nine hundred four".