83484602208 has 288 divisors, whose sum is σ = 298162166400. Its totient is φ = 22597118208.

The previous prime is 83484602207. The next prime is 83484602221. The reversal of 83484602208 is 80220648438.

83484602208 is a `hidden beast` number, since 8 + 34 + 8 + 4 + 602 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83484602207) 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 47 ways as a sum of consecutive naturals, for example, 752491 + ... + 856277.

It is an arithmetic number, because the mean of its divisors is an integer number (1035285300).

Almost surely, 2^83484602208 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 83484602208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149081083200).

83484602208 is an abundant number, since it is smaller than the sum of its proper divisors (214677564192).

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

83484602208 is a wasteful number, since it uses less digits than its factorization.

83484602208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103839 (or 103818 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 83484602208 in words is "eighty-three billion, four hundred eighty-four million, six hundred two thousand, two hundred eight".