4613556553164 has 192 divisors, whose sum is σ = 13565611584000. Its totient is φ = 1344197617920.

The previous prime is 4613556553157. The next prime is 4613556553283.

4613556553164 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 556 + 55 + 31 + 6 + 4 = 666.

4613556553164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4613556553164.

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 63 ways as a sum of consecutive naturals, for example, 57072927 + ... + 57153705.

It is an arithmetic number, because the mean of its divisors is an integer number (70654227000).

Almost surely, 2^{4613556553164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4613556553164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782805792000).

4613556553164 is an abundant number, since it is smaller than the sum of its proper divisors (8952055030836).

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

4613556553164 is a wasteful number, since it uses less digits than its factorization.

4613556553164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82965 (or 82957 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 4613556553164 in words is "four trillion, six hundred thirteen billion, five hundred fifty-six million, five hundred fifty-three thousand, one hundred sixty-four".