2288445458656 has 432 divisors, whose sum is σ = 5689314723456. Its totient is φ = 903004236288.

The previous prime is 2288445458623. The next prime is 2288445458687. The reversal of 2288445458656 is 6568545448822.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a junction number, because it is equal to n+sod(n) for n = 2288445458591 and 2288445458600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3147792565 + ... + 3147793291.

It is an arithmetic number, because the mean of its divisors is an integer number (13169710008).

Almost surely, 2^{2288445458656} 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 2288445458656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844657361728).

2288445458656 is an abundant number, since it is smaller than the sum of its proper divisors (3400869264800).

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

2288445458656 is a wasteful number, since it uses less digits than its factorization.

2288445458656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 905 counting only the distinct ones).

The product of its digits is 589824000, while the sum is 67.

The spelling of 2288445458656 in words is "two trillion, two hundred eighty-eight billion, four hundred forty-five million, four hundred fifty-eight thousand, six hundred fifty-six".