4611456541164 has 72 divisors (see below), whose sum is σ = 12146832805744. Its totient is φ = 1359643190400.

The previous prime is 4611456541163. The next prime is 4611456541213.

It is a happy number.

4611456541164 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4611456541163) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42864307 + ... + 42971754.

Almost surely, 2^{4611456541164} is an apocalyptic number.

4611456541164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4611456541164 is an abundant number, since it is smaller than the sum of its proper divisors (7535376264580).

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

4611456541164 is a wasteful number, since it uses less digits than its factorization.

4611456541164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85836127 (or 85836114 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The spelling of 4611456541164 in words is "four trillion, six hundred eleven billion, four hundred fifty-six million, five hundred forty-one thousand, one hundred sixty-four".