84538479168 has 392 divisors, whose sum is σ = 295514182656. Its totient is φ = 23645260800.

The previous prime is 84538479163. The next prime is 84538479187. The reversal of 84538479168 is 86197483548.

84538479168 is a `hidden beast` number, since 8 + 4 + 538 + 4 + 7 + 91 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (84538479163) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6665473 + ... + 6678143.

Almost surely, 2^84538479168 is an apocalyptic number.

84538479168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84538479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147757091328).

84538479168 is an abundant number, since it is smaller than the sum of its proper divisors (210975703488).

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

84538479168 is a wasteful number, since it uses less digits than its factorization.

84538479168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12725 (or 12700 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 84538479168 in words is "eighty-four billion, five hundred thirty-eight million, four hundred seventy-nine thousand, one hundred sixty-eight".