466142545241664 has 28 divisors (see below), whose sum is σ = 1233335484285744. Its totient is φ = 155380848413824.

The previous prime is 466142545241617. The next prime is 466142545241671.

466142545241664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×466142545241664² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466142545241598 and 466142545241607.

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 3 ways as a sum of consecutive naturals, for example, 1213912878042 + ... + 1213912878425.

It is an arithmetic number, because the mean of its divisors is an integer number (44047695867348).

Almost surely, 2^{466142545241664} is an apocalyptic number.

It is an amenable number.

466142545241664 is an abundant number, since it is smaller than the sum of its proper divisors (767192939044080).

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

466142545241664 is a wasteful number, since it uses less digits than its factorization.

466142545241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427825756482 (or 2427825756472 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 466142545241664 in words is "four hundred sixty-six trillion, one hundred forty-two billion, five hundred forty-five million, two hundred forty-one thousand, six hundred sixty-four".