8118310002048 has 1024 divisors, whose sum is σ = 26882565120000. Its totient is φ = 2431546490880.

The previous prime is 8118310002041. The next prime is 8118310002053. The reversal of 8118310002048 is 8402000138118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8118310002041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8738761648 + ... + 8738762576.

It is an arithmetic number, because the mean of its divisors is an integer number (26252505000).

Almost surely, 2^{8118310002048} 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 8118310002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441282560000).

8118310002048 is an abundant number, since it is smaller than the sum of its proper divisors (18764255117952).

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

8118310002048 is an equidigital number, since it uses as much as digits as its factorization.

8118310002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 8118310002048 in words is "eight trillion, one hundred eighteen billion, three hundred ten million, two thousand, forty-eight".