83248522344 has 192 divisors, whose sum is σ = 256204166400. Its totient is φ = 24208243200.

The previous prime is 83248522339. The next prime is 83248522349. The reversal of 83248522344 is 44322584238.

83248522344 is a `hidden beast` number, since 83 + 2 + 4 + 8 + 522 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (83248522339) and next prime (83248522349).

It is a self number, because there is not a number n which added to its sum of digits gives 83248522344.

It is not an unprimeable number, because it can be changed into a prime (83248522349) 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, 7659474 + ... + 7670334.

It is an arithmetic number, because the mean of its divisors is an integer number (1334396700).

Almost surely, 2^83248522344 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 83248522344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128102083200).

83248522344 is an abundant number, since it is smaller than the sum of its proper divisors (172955644056).

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

83248522344 is a wasteful number, since it uses less digits than its factorization.

83248522344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336 (or 11329 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 83248522344 in words is "eighty-three billion, two hundred forty-eight million, five hundred twenty-two thousand, three hundred forty-four".