84934546560 has 192 divisors, whose sum is σ = 293457298680. Its totient is φ = 22636265472.

The previous prime is 84934546553. The next prime is 84934546577. The reversal of 84934546560 is 6564543948.

84934546560 is a `hidden beast` number, since 8 + 4 + 9 + 34 + 5 + 46 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40420298304 + 44514248256 = 201048^2 + 210984^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 84934546497 and 84934546506.

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 23 ways as a sum of consecutive naturals, for example, 14264544 + ... + 14270496.

Almost surely, 2^84934546560 is an apocalyptic number.

84934546560 is a gapful number since it is divisible by the number (80) 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 84934546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146728649340).

84934546560 is an abundant number, since it is smaller than the sum of its proper divisors (208522752120).

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

84934546560 is a wasteful number, since it uses less digits than its factorization.

84934546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 84934546560 in words is "eighty-four billion, nine hundred thirty-four million, five hundred forty-six thousand, five hundred sixty".