84234456576 has 320 divisors, whose sum is σ = 254790835200. Its totient is φ = 27471495168.

The previous prime is 84234456457. The next prime is 84234456577. The reversal of 84234456576 is 67565443248.

84234456576 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 4 + 4 + 565 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84234456577) 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, 149616871 + ... + 149617433.

It is an arithmetic number, because the mean of its divisors is an integer number (796221360).

Almost surely, 2^84234456576 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 84234456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127395417600).

84234456576 is an abundant number, since it is smaller than the sum of its proper divisors (170556378624).

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

84234456576 is a wasteful number, since it uses less digits than its factorization.

84234456576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 784 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 84234456576 in words is "eighty-four billion, two hundred thirty-four million, four hundred fifty-six thousand, five hundred seventy-six".