268462401225 has 48 divisors (see below), whose sum is σ = 455794255872. Its totient is φ = 139372047360.

The previous prime is 268462401211. The next prime is 268462401239. The reversal of 268462401225 is 522104264862.

268462401225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268462401211) and next prime (268462401239).

It is not a de Polignac number, because 268462401225 - 2⁴ = 268462401209 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238929 + ... + 770721.

It is an arithmetic number, because the mean of its divisors is an integer number (9495713664).

Almost surely, 2^268462401225 is an apocalyptic number.

268462401225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268462401225 is a deficient number, since it is larger than the sum of its proper divisors (187331854647).

268462401225 is a wasteful number, since it uses less digits than its factorization.

268462401225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531986 (or 531981 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 268462401225 in words is "two hundred sixty-eight billion, four hundred sixty-two million, four hundred one thousand, two hundred twenty-five".