83546354484 has 36 divisors (see below), whose sum is σ = 211212614340. Its totient is φ = 27845356800.

The previous prime is 83546354467. The next prime is 83546354519. The reversal of 83546354484 is 48445364538.

83546354484 is a `hidden beast` number, since 8 + 3 + 54 + 63 + 54 + 484 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75063944484 + 8482410000 = 273978^2 + 92100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83546354484.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 162634 + ... + 439934.

It is an arithmetic number, because the mean of its divisors is an integer number (5867017065).

Almost surely, 2^83546354484 is an apocalyptic number.

It is an amenable number.

83546354484 is an abundant number, since it is smaller than the sum of its proper divisors (127666259856).

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

83546354484 is a wasteful number, since it uses less digits than its factorization.

83546354484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285680 (or 285675 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 83546354484 in words is "eighty-three billion, five hundred forty-six million, three hundred fifty-four thousand, four hundred eighty-four".