83565318144 has 936 divisors, whose sum is σ = 302034802944. Its totient is φ = 20437401600.

The previous prime is 83565318073. The next prime is 83565318163. The reversal of 83565318144 is 44181356538.

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

It is a junction number, because it is equal to n+sod(n) for n = 83565318093 and 83565318102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2258522094 + ... + 2258522130.

Almost surely, 2^83565318144 is an apocalyptic number.

83565318144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83565318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151017401472).

83565318144 is an abundant number, since it is smaller than the sum of its proper divisors (218469484800).

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

83565318144 is a wasteful number, since it uses less digits than its factorization.

83565318144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The spelling of 83565318144 in words is "eighty-three billion, five hundred sixty-five million, three hundred eighteen thousand, one hundred forty-four".