84609304992 has 144 divisors (see below), whose sum is σ = 244939863168. Its totient is φ = 27698388480.

The previous prime is 84609304981. The next prime is 84609305057. The reversal of 84609304992 is 29940390648.

84609304992 is a `hidden beast` number, since 8 + 4 + 60 + 93 + 0 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84609304992² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 5369958 + ... + 5385690.

It is an arithmetic number, because the mean of its divisors is an integer number (1700971272).

Almost surely, 2^84609304992 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 84609304992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122469931584).

84609304992 is an abundant number, since it is smaller than the sum of its proper divisors (160330558176).

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

84609304992 is a wasteful number, since it uses less digits than its factorization.

84609304992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16083 (or 16072 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 84609304992 in words is "eighty-four billion, six hundred nine million, three hundred four thousand, nine hundred ninety-two".