263313863046 has 128 divisors (see below), whose sum is σ = 651713126400. Its totient is φ = 78291308160.

The previous prime is 263313863009. The next prime is 263313863047. The reversal of 263313863046 is 640368313362.

263313863046 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 1 + 3 + 8 + 630 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 263313862992 and 263313863010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263313863047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2556016 + ... + 2657036.

It is an arithmetic number, because the mean of its divisors is an integer number (5091508800).

Almost surely, 2^263313863046 is an apocalyptic number.

263313863046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 263313863046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325856563200).

263313863046 is an abundant number, since it is smaller than the sum of its proper divisors (388399263354).

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

263313863046 is a wasteful number, since it uses less digits than its factorization.

263313863046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101171 (or 101165 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 263313863046 in words is "two hundred sixty-three billion, three hundred thirteen million, eight hundred sixty-three thousand, forty-six".