263848326912 has 648 divisors, whose sum is σ = 861749091840. Its totient is φ = 80420014080.

The previous prime is 263848326899. The next prime is 263848326913. The reversal of 263848326912 is 219623848362.

263848326912 is a `hidden beast` number, since 26 + 38 + 483 + 26 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×263848326912² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263848326913) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 696169539 + ... + 696169917.

Almost surely, 2^263848326912 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 263848326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430874545920).

263848326912 is an abundant number, since it is smaller than the sum of its proper divisors (597900764928).

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

263848326912 is an equidigital number, since it uses as much as digits as its factorization.

263848326912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 434 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 263848326912 in words is "two hundred sixty-three billion, eight hundred forty-eight million, three hundred twenty-six thousand, nine hundred twelve".