8183135600640 has 3420 divisors, whose sum is σ = 40398035108508. Its totient is φ = 1569592442880.

The previous prime is 8183135600623. The next prime is 8183135600663. The reversal of 8183135600640 is 460065313818.

8183135600640 is a `hidden beast` number, since 8 + 1 + 8 + 3 + 1 + 35 + 600 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2014310301696 + 6168825298944 = 1419264^2 + 2483712^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 629471969274 + ... + 629471969286.

Almost surely, 2^{8183135600640} is an apocalyptic number.

8183135600640 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 8183135600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20199017554254).

8183135600640 is an abundant number, since it is smaller than the sum of its proper divisors (32214899507868).

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

8183135600640 is an equidigital number, since it uses as much as digits as its factorization.

8183135600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 8183135600640 in words is "eight trillion, one hundred eighty-three billion, one hundred thirty-five million, six hundred thousand, six hundred forty".