84438472896 has 224 divisors, whose sum is σ = 260279692800. Its totient is φ = 26792156160.

The previous prime is 84438472837. The next prime is 84438472903. The reversal of 84438472896 is 69827483448.

84438472896 is a `hidden beast` number, since 8 + 44 + 38 + 472 + 8 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8380950 + ... + 8391018.

Almost surely, 2^84438472896 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 84438472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130139846400).

84438472896 is an abundant number, since it is smaller than the sum of its proper divisors (175841219904).

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

84438472896 is a wasteful number, since it uses less digits than its factorization.

84438472896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324 (or 10308 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 84438472896 in words is "eighty-four billion, four hundred thirty-eight million, four hundred seventy-two thousand, eight hundred ninety-six".