268456146426 has 32 divisors (see below), whose sum is σ = 642459155520. Its totient is φ = 82601890992.

The previous prime is 268456146407. The next prime is 268456146457. The reversal of 268456146426 is 624641654862.

268456146426 is a `hidden beast` number, since 2 + 6 + 8 + 456 + 146 + 42 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191207380 + ... + 191208783.

It is an arithmetic number, because the mean of its divisors is an integer number (20076848610).

Almost surely, 2^268456146426 is an apocalyptic number.

268456146426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

268456146426 is an abundant number, since it is smaller than the sum of its proper divisors (374003009094).

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

268456146426 is a wasteful number, since it uses less digits than its factorization.

268456146426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382416187 (or 382416181 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 268456146426 in words is "two hundred sixty-eight billion, four hundred fifty-six million, one hundred forty-six thousand, four hundred twenty-six".