263438561568 has 192 divisors, whose sum is σ = 870903677952. Its totient is φ = 67862430720.

The previous prime is 263438561563. The next prime is 263438561579. The reversal of 263438561568 is 865165834362.

It is not an unprimeable number, because it can be changed into a prime (263438561563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25003 + ... + 726293.

It is an arithmetic number, because the mean of its divisors is an integer number (4535956656).

Almost surely, 2^263438561568 is an apocalyptic number.

263438561568 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 263438561568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435451838976).

263438561568 is an abundant number, since it is smaller than the sum of its proper divisors (607465116384).

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

263438561568 is a wasteful number, since it uses less digits than its factorization.

263438561568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701367 (or 701359 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The spelling of 263438561568 in words is "two hundred sixty-three billion, four hundred thirty-eight million, five hundred sixty-one thousand, five hundred sixty-eight".