83653339848192 has 180 divisors, whose sum is σ = 244781828824104. Its totient is φ = 27502459822080.

The previous prime is 83653339848161. The next prime is 83653339848251. The reversal of 83653339848192 is 29184893335638.

83653339848192 is a `hidden beast` number, since 8 + 3 + 6 + 5 + 3 + 3 + 398 + 48 + 192 = 666.

83653339848192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 83653339848192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22852717 + ... + 26259347.

Almost surely, 2^{83653339848192} 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 83653339848192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122390914412052).

83653339848192 is an abundant number, since it is smaller than the sum of its proper divisors (161128488975912).

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

83653339848192 is an equidigital number, since it uses as much as digits as its factorization.

83653339848192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406801 (or 3406709 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 83653339848192 in words is "eighty-three trillion, six hundred fifty-three billion, three hundred thirty-nine million, eight hundred forty-eight thousand, one hundred ninety-two".