83448115232768 has 304 divisors, whose sum is σ = 202401289950720. Its totient is φ = 33883265433600.

The previous prime is 83448115232759. The next prime is 83448115232791. The reversal of 83448115232768 is 86723251184438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 83448115232768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162048448 + ... + 1162120256.

Almost surely, 2^{83448115232768} is an apocalyptic number.

83448115232768 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 83448115232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101200644975360).

83448115232768 is an abundant number, since it is smaller than the sum of its proper divisors (118953174717952).

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

83448115232768 is an equidigital number, since it uses as much as digits as its factorization.

83448115232768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71900 (or 71866 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 62.

The spelling of 83448115232768 in words is "eighty-three trillion, four hundred forty-eight billion, one hundred fifteen million, two hundred thirty-two thousand, seven hundred sixty-eight".