460242686242064 has 60 divisors (see below), whose sum is σ = 982254101682672. Its totient is φ = 208753252255680.

The previous prime is 460242686242021. The next prime is 460242686242091.

460242686242064 is nontrivially palindromic in base 10.

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 11 ways as a sum of consecutive naturals, for example, 253623362 + ... + 255431585.

Almost surely, 2^{460242686242064} is an apocalyptic number.

460242686242064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

460242686242064 is an abundant number, since it is smaller than the sum of its proper divisors (522011415440608).

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

460242686242064 is a wasteful number, since it uses less digits than its factorization.

460242686242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509055444 (or 509055427 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 56.

The spelling of 460242686242064 in words is "four hundred sixty trillion, two hundred forty-two billion, six hundred eighty-six million, two hundred forty-two thousand, sixty-four".