8183342400 has 168 divisors, whose sum is σ = 27021678240. Its totient is φ = 2168125440.

The previous prime is 8183342399. The next prime is 8183342407. The reversal of 8183342400 is 42433818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8183342407) 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 23 ways as a sum of consecutive naturals, for example, 748171 + ... + 759029.

Almost surely, 2^8183342400 is an apocalyptic number.

8183342400 is a gapful number since it is divisible by the number (80) 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 8183342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510839120).

8183342400 is an abundant number, since it is smaller than the sum of its proper divisors (18838335840).

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

8183342400 is a wasteful number, since it uses less digits than its factorization.

8183342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11041 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 8183342400 is about 90461.8284139780. The cubic root of 8183342400 is about 2015.1632802643.

The spelling of 8183342400 in words is "eight billion, one hundred eighty-three million, three hundred forty-two thousand, four hundred".