83690444448 has 288 divisors, whose sum is σ = 274684265856. Its totient is φ = 23964678144.

The previous prime is 83690444447. The next prime is 83690444449. The reversal of 83690444448 is 84444409638.

It is an interprime number because it is at equal distance from previous prime (83690444447) and next prime (83690444449).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 83690444394 and 83690444403.

It is not an unprimeable number, because it can be changed into a prime (83690444441) 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 47 ways as a sum of consecutive naturals, for example, 3173011 + ... + 3199277.

It is an arithmetic number, because the mean of its divisors is an integer number (953764812).

Almost surely, 2^83690444448 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 83690444448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137342132928).

83690444448 is an abundant number, since it is smaller than the sum of its proper divisors (190993821408).

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

83690444448 is a wasteful number, since it uses less digits than its factorization.

83690444448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26356 (or 26345 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 83690444448 in words is "eighty-three billion, six hundred ninety million, four hundred forty-four thousand, four hundred forty-eight".