2265901065648 has 480 divisors, whose sum is σ = 7070827563072. Its totient is φ = 677289000960.

The previous prime is 2265901065641. The next prime is 2265901065671. The reversal of 2265901065648 is 8465601095622.

2265901065648 is a `hidden beast` number, since 2 + 2 + 6 + 590 + 1 + 0 + 6 + 5 + 6 + 48 = 666.

It is a super-4 number, since 4×2265901065648⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 2265901065594 and 2265901065603.

It is not an unprimeable number, because it can be changed into a prime (2265901065641) 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 95 ways as a sum of consecutive naturals, for example, 7733450590 + ... + 7733450882.

Almost surely, 2^{2265901065648} 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 2265901065648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535413781536).

2265901065648 is an abundant number, since it is smaller than the sum of its proper divisors (4804926497424).

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

2265901065648 is a wasteful number, since it uses less digits than its factorization.

2265901065648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2265901065648 in words is "two trillion, two hundred sixty-five billion, nine hundred one million, sixty-five thousand, six hundred forty-eight".