46142522524164 has 24 divisors (see below), whose sum is σ = 117453693698208. Its totient is φ = 13982582583040.

The previous prime is 46142522524139. The next prime is 46142522524187.

46142522524164 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 174782282157 + ... + 174782282420.

It is an arithmetic number, because the mean of its divisors is an integer number (4893903904092).

Almost surely, 2^{46142522524164} is an apocalyptic number.

46142522524164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46142522524164 is an abundant number, since it is smaller than the sum of its proper divisors (71311171174044).

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

46142522524164 is a wasteful number, since it uses less digits than its factorization.

46142522524164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349564564595 (or 349564564593 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 46142522524164 in words is "forty-six trillion, one hundred forty-two billion, five hundred twenty-two million, five hundred twenty-four thousand, one hundred sixty-four".