268082466912 has 192 divisors, whose sum is σ = 849927375360. Its totient is φ = 81715640832.

The previous prime is 268082466907. The next prime is 268082466917. The reversal of 268082466912 is 219664280862.

268082466912 is a `hidden beast` number, since 26 + 80 + 82 + 466 + 9 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (268082466907) and next prime (268082466917).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268082466917) 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, 1090293 + ... + 1313355.

It is an arithmetic number, because the mean of its divisors is an integer number (4426705080).

Almost surely, 2^268082466912 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 268082466912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424963687680).

268082466912 is an abundant number, since it is smaller than the sum of its proper divisors (581844908448).

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

268082466912 is a wasteful number, since it uses less digits than its factorization.

268082466912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223202 (or 223188 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 268082466912 in words is "two hundred sixty-eight billion, eighty-two million, four hundred sixty-six thousand, nine hundred twelve".