2284233963648 has 1024 divisors, whose sum is σ = 8360174592000. Its totient is φ = 534769827840.

The previous prime is 2284233963647. The next prime is 2284233963677. The reversal of 2284233963648 is 8463693324822.

It is a junction number, because it is equal to n+sod(n) for n = 2284233963591 and 2284233963600.

It is not an unprimeable number, because it can be changed into a prime (2284233963647) 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, 4954954138 + ... + 4954954598.

It is an arithmetic number, because the mean of its divisors is an integer number (8164233000).

Almost surely, 2^{2284233963648} is an apocalyptic number.

2284233963648 is a gapful number since it is divisible by the number (28) 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 2284233963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180087296000).

2284233963648 is an abundant number, since it is smaller than the sum of its proper divisors (6075940628352).

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

2284233963648 is a wasteful number, since it uses less digits than its factorization.

2284233963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 60.

The spelling of 2284233963648 in words is "two trillion, two hundred eighty-four billion, two hundred thirty-three million, nine hundred sixty-three thousand, six hundred forty-eight".