46543434564 has 144 divisors (see below), whose sum is σ = 128469777408. Its totient is φ = 13056384000.

The previous prime is 46543434523. The next prime is 46543434611.

46543434564 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1490269 + ... + 1521179.

It is an arithmetic number, because the mean of its divisors is an integer number (892151232).

Almost surely, 2^46543434564 is an apocalyptic number.

46543434564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46543434564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64234888704).

46543434564 is an abundant number, since it is smaller than the sum of its proper divisors (81926342844).

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

46543434564 is a wasteful number, since it uses less digits than its factorization.

46543434564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31018 (or 31005 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 46543434564 in words is "forty-six billion, five hundred forty-three million, four hundred thirty-four thousand, five hundred sixty-four".