83468886438 has 96 divisors (see below), whose sum is σ = 198560844288. Its totient is φ = 23313057600.

The previous prime is 83468886409. The next prime is 83468886439.

83468886438 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83468886439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13414168 + ... + 13420388.

It is an arithmetic number, because the mean of its divisors is an integer number (2068342128).

Almost surely, 2^83468886438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83468886438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99280422144).

83468886438 is an abundant number, since it is smaller than the sum of its proper divisors (115091957850).

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

83468886438 is a wasteful number, since it uses less digits than its factorization.

83468886438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7251 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 66.

The spelling of 83468886438 in words is "eighty-three billion, four hundred sixty-eight million, eight hundred eighty-six thousand, four hundred thirty-eight".