83443884813 has 48 divisors (see below), whose sum is σ = 123624811440. Its totient is φ = 54216195072.

The previous prime is 83443884803. The next prime is 83443884841. The reversal of 83443884813 is 31848834438.

83443884813 is a `hidden beast` number, since 83 + 4 + 4 + 3 + 88 + 481 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30935844 + 83412948969 = 5562^2 + 288813^2 .

It is not a de Polignac number, because 83443884813 - 2⁶ = 83443884749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83443884813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83443884803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75241903 + ... + 75243011.

It is an arithmetic number, because the mean of its divisors is an integer number (2575516905).

Almost surely, 2^83443884813 is an apocalyptic number.

It is an amenable number.

83443884813 is a deficient number, since it is larger than the sum of its proper divisors (40180926627).

83443884813 is a wasteful number, since it uses less digits than its factorization.

83443884813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2075 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

It can be divided in two parts, 83443 and 884813, that added together give a square (968256 = 984²).

The spelling of 83443884813 in words is "eighty-three billion, four hundred forty-three million, eight hundred eighty-four thousand, eight hundred thirteen".