83823509113344 has 4320 divisors, whose sum is σ = 349696018303632. Its totient is φ = 19129407897600.

The previous prime is 83823509113327. The next prime is 83823509113369. The reversal of 83823509113344 is 44331190532838.

83823509113344 is a `hidden beast` number, since 8 + 3 + 82 + 3 + 509 + 1 + 13 + 3 + 44 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14974670962944 + 68848838150400 = 3869712^2 + 8297520^2 .

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 431 ways as a sum of consecutive naturals, for example, 1148267248092 + ... + 1148267248164.

Almost surely, 2^{83823509113344} is an apocalyptic number.

83823509113344 is a gapful number since it is divisible by the number (84) 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 83823509113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174848009151816).

83823509113344 is an abundant number, since it is smaller than the sum of its proper divisors (265872509190288).

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

83823509113344 is a wasteful number, since it uses less digits than its factorization.

83823509113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 83823509113344 in words is "eighty-three trillion, eight hundred twenty-three billion, five hundred nine million, one hundred thirteen thousand, three hundred forty-four".