8053218331648 has 264 divisors, whose sum is σ = 19123595739360. Its totient is φ = 3320007229440.

The previous prime is 8053218331643. The next prime is 8053218331673. The reversal of 8053218331648 is 8461338123508.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8053218331595 and 8053218331604.

It is not an unprimeable number, because it can be changed into a prime (8053218331643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873351678 + ... + 873360898.

Almost surely, 2^{8053218331648} 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 8053218331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561797869680).

8053218331648 is an abundant number, since it is smaller than the sum of its proper divisors (11070377407712).

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

8053218331648 is an equidigital number, since it uses as much as digits as its factorization.

8053218331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9356 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 8053218331648 in words is "eight trillion, fifty-three billion, two hundred eighteen million, three hundred thirty-one thousand, six hundred forty-eight".