263123369682768 has 120 divisors (see below), whose sum is σ = 868724776198656. Its totient is φ = 72753005433600.

The previous prime is 263123369682763. The next prime is 263123369682791. The reversal of 263123369682768 is 867286963321362.

263123369682768 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 233 + 69 + 68 + 276 + 8 = 666.

It is a super-2 number, since 2×263123369682768² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 263123369682696 and 263123369682705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263123369682763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4210212123 + ... + 4210274618.

Almost surely, 2^{263123369682768} is an apocalyptic number.

263123369682768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

263123369682768 is an abundant number, since it is smaller than the sum of its proper divisors (605601406515888).

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

263123369682768 is a wasteful number, since it uses less digits than its factorization.

263123369682768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8420486793 (or 8420486784 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 263123369682768 in words is "two hundred sixty-three trillion, one hundred twenty-three billion, three hundred sixty-nine million, six hundred eighty-two thousand, seven hundred sixty-eight".