83349720852 has 96 divisors (see below), whose sum is σ = 210886115328. Its totient is φ = 25521759744.

The previous prime is 83349720833. The next prime is 83349720859. The reversal of 83349720852 is 25802794338.

It is a super-2 number, since 2×83349720852² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 83349720795 and 83349720804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83349720859) 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, 3506953 + ... + 3530639.

It is an arithmetic number, because the mean of its divisors is an integer number (2196730368).

Almost surely, 2^83349720852 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 83349720852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105443057664).

83349720852 is an abundant number, since it is smaller than the sum of its proper divisors (127536394476).

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

83349720852 is a wasteful number, since it uses less digits than its factorization.

83349720852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24125 (or 24123 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 83349720852 in words is "eighty-three billion, three hundred forty-nine million, seven hundred twenty thousand, eight hundred fifty-two".