83346853632 has 288 divisors, whose sum is σ = 273506429952. Its totient is φ = 21988442112.

The previous prime is 83346853631. The next prime is 83346853657. The reversal of 83346853632 is 23635864338.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83346853631) 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 31 ways as a sum of consecutive naturals, for example, 4835173 + ... + 4852379.

It is an arithmetic number, because the mean of its divisors is an integer number (949675104).

Almost surely, 2^83346853632 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 83346853632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136753214976).

83346853632 is an abundant number, since it is smaller than the sum of its proper divisors (190159576320).

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

83346853632 is a wasteful number, since it uses less digits than its factorization.

83346853632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17303 (or 17289 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 51.

The spelling of 83346853632 in words is "eighty-three billion, three hundred forty-six million, eight hundred fifty-three thousand, six hundred thirty-two".