83845112736 has 864 divisors, whose sum is σ = 303526258560. Its totient is φ = 19798732800.

The previous prime is 83845112693. The next prime is 83845112753. The reversal of 83845112736 is 63721154838.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (967680) is a multiple of the sum of its prime divisors (120).

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 143 ways as a sum of consecutive naturals, for example, 2266084110 + ... + 2266084146.

It is an arithmetic number, because the mean of its divisors is an integer number (351303540).

Almost surely, 2^83845112736 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 83845112736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151763129280).

83845112736 is an abundant number, since it is smaller than the sum of its proper divisors (219681145824).

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

83845112736 is a wasteful number, since it uses less digits than its factorization.

83845112736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 120 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 83845112736 in words is "eighty-three billion, eight hundred forty-five million, one hundred twelve thousand, seven hundred thirty-six".