83295543144 has 256 divisors, whose sum is σ = 245492674560. Its totient is φ = 23270912000.

The previous prime is 83295543143. The next prime is 83295543157. The reversal of 83295543144 is 44134559238.

It is a junction number, because it is equal to n+sod(n) for n = 83295543093 and 83295543102.

It is not an unprimeable number, because it can be changed into a prime (83295543143) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 55125349 + ... + 55126859.

It is an arithmetic number, because the mean of its divisors is an integer number (958955760).

Almost surely, 2^83295543144 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 83295543144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122746337280).

83295543144 is an abundant number, since it is smaller than the sum of its proper divisors (162197131416).

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

83295543144 is a wasteful number, since it uses less digits than its factorization.

83295543144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1788 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 83295543144 in words is "eighty-three billion, two hundred ninety-five million, five hundred forty-three thousand, one hundred forty-four".