83144676342 has 64 divisors (see below), whose sum is σ = 205139257344. Its totient is φ = 21877326720.

The previous prime is 83144676331. The next prime is 83144676347. The reversal of 83144676342 is 24367644138.

It is a junction number, because it is equal to n+sod(n) for n = 83144676291 and 83144676300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83144676347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58668 + ... + 411984.

It is an arithmetic number, because the mean of its divisors is an integer number (3205300896).

Almost surely, 2^83144676342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83144676342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102569628672).

83144676342 is an abundant number, since it is smaller than the sum of its proper divisors (121994581002).

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

83144676342 is a wasteful number, since it uses less digits than its factorization.

83144676342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353773.

The product of its digits is 2322432, while the sum is 48.

The spelling of 83144676342 in words is "eighty-three billion, one hundred forty-four million, six hundred seventy-six thousand, three hundred forty-two".