83436281808 has 120 divisors (see below), whose sum is σ = 237125802144. Its totient is φ = 25261758720.

The previous prime is 83436281779. The next prime is 83436281837. The reversal of 83436281808 is 80818263438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83436281779) and next prime (83436281837).

It is a super-2 number, since 2×83436281808² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7446066 + ... + 7457262.

Almost surely, 2^83436281808 is an apocalyptic number.

83436281808 is a gapful number since it is divisible by the number (88) 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 83436281808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118562901072).

83436281808 is an abundant number, since it is smaller than the sum of its proper divisors (153689520336).

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

83436281808 is a wasteful number, since it uses less digits than its factorization.

83436281808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12513 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 83436281808 in words is "eighty-three billion, four hundred thirty-six million, two hundred eighty-one thousand, eight hundred eight".