84675057648 has 80 divisors (see below), whose sum is σ = 231703027200. Its totient is φ = 26554190848.

The previous prime is 84675057647. The next prime is 84675057689.

84675057648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84675057591 and 84675057600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84675057647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2183161 + ... + 2221607.

It is an arithmetic number, because the mean of its divisors is an integer number (2896287840).

Almost surely, 2^84675057648 is an apocalyptic number.

It is an amenable number.

84675057648 is an abundant number, since it is smaller than the sum of its proper divisors (147027969552).

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

84675057648 is a wasteful number, since it uses less digits than its factorization.

84675057648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41174 (or 41168 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 84675057648 in words is "eighty-four billion, six hundred seventy-five million, fifty-seven thousand, six hundred forty-eight".