8218440510336 has 512 divisors, whose sum is σ = 29195069952000. Its totient is φ = 2223386081280.

The previous prime is 8218440510323. The next prime is 8218440510337. The reversal of 8218440510336 is 6330150448128.

8218440510336 is a `hidden beast` number, since 8 + 21 + 84 + 4 + 0 + 510 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8218440510291 and 8218440510300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8218440510337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1255295415 + ... + 1255301961.

It is an arithmetic number, because the mean of its divisors is an integer number (57021621000).

Almost surely, 2^{8218440510336} 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 8218440510336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597534976000).

8218440510336 is an abundant number, since it is smaller than the sum of its proper divisors (20976629441664).

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

8218440510336 is a wasteful number, since it uses less digits than its factorization.

8218440510336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8218440510336 in words is "eight trillion, two hundred eighteen billion, four hundred forty million, five hundred ten thousand, three hundred thirty-six".