4613312133164 has 96 divisors (see below), whose sum is σ = 9369433221120. Its totient is φ = 1946680190208.

The previous prime is 4613312133151. The next prime is 4613312133211.

4613312133164 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 31 ways as a sum of consecutive naturals, for example, 1458522647 + ... + 1458525809.

It is an arithmetic number, because the mean of its divisors is an integer number (97598262720).

Almost surely, 2^{4613312133164} is an apocalyptic number.

It is an amenable number.

4613312133164 is an abundant number, since it is smaller than the sum of its proper divisors (4756121087956).

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

4613312133164 is a wasteful number, since it uses less digits than its factorization.

4613312133164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879 (or 4877 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The spelling of 4613312133164 in words is "four trillion, six hundred thirteen billion, three hundred twelve million, one hundred thirty-three thousand, one hundred sixty-four".