268950852117 has 32 divisors (see below), whose sum is σ = 399934200960. Its totient is φ = 178631412480.

The previous prime is 268950852101. The next prime is 268950852151. The reversal of 268950852117 is 711258059862.

268950852117 is a `hidden beast` number, since 2 + 6 + 89 + 508 + 52 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 268950852117 - 2⁴ = 268950852101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268950852017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16519293 + ... + 16535565.

It is an arithmetic number, because the mean of its divisors is an integer number (12497943780).

Almost surely, 2^268950852117 is an apocalyptic number.

268950852117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

268950852117 is a deficient number, since it is larger than the sum of its proper divisors (130983348843).

268950852117 is a wasteful number, since it uses less digits than its factorization.

268950852117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18530 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 268950852117 in words is "two hundred sixty-eight billion, nine hundred fifty million, eight hundred fifty-two thousand, one hundred seventeen".