4263609086256 has 640 divisors, whose sum is σ = 13248752025600. Its totient is φ = 1169590026240.

The previous prime is 4263609086207. The next prime is 4263609086291. The reversal of 4263609086256 is 6526809063624.

4263609086256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 4263609086196 and 4263609086205.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2103407515 + ... + 2103409541.

It is an arithmetic number, because the mean of its divisors is an integer number (20701175040).

Almost surely, 2^{4263609086256} 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 4263609086256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624376012800).

4263609086256 is an abundant number, since it is smaller than the sum of its proper divisors (8985142939344).

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

4263609086256 is a wasteful number, since it uses less digits than its factorization.

4263609086256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 4263609086256 in words is "four trillion, two hundred sixty-three billion, six hundred nine million, eighty-six thousand, two hundred fifty-six".