460142121241064 has 16 divisors (see below), whose sum is σ = 873161254163520. Its totient is φ = 227299120130800.

The previous prime is 460142121241063. The next prime is 460142121241067.

460142121241064 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (460142121241063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 346492560512 + ... + 346492561839.

It is an arithmetic number, because the mean of its divisors is an integer number (54572578385220).

Almost surely, 2^{460142121241064} is an apocalyptic number.

It is an amenable number.

460142121241064 is a deficient number, since it is larger than the sum of its proper divisors (413019132922456).

460142121241064 is a wasteful number, since it uses less digits than its factorization.

460142121241064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692985122440 (or 692985122436 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 460142121241064 in words is "four hundred sixty trillion, one hundred forty-two billion, one hundred twenty-one million, two hundred forty-one thousand, sixty-four".