4612552164 has 72 divisors (see below), whose sum is σ = 13063272768. Its totient is φ = 1359961920.

The previous prime is 4612552163. The next prime is 4612552169.

4612552164 is a `hidden beast` number, since 4 + 6 + 125 + 521 + 6 + 4 = 666.

4612552164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4612552163) 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, 142752 + ... + 172055.

It is an arithmetic number, because the mean of its divisors is an integer number (181434344).

Almost surely, 2^4612552164 is an apocalyptic number.

4612552164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4612552164 is an abundant number, since it is smaller than the sum of its proper divisors (8450720604).

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

4612552164 is a wasteful number, since it uses less digits than its factorization.

4612552164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314865 (or 314860 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 4612552164 is about 67915.7725716199. The cubic root of 4612552164 is about 1664.6148458465.

It can be divided in two parts, 46125 and 52164, that added together give a palindrome (98289).

The spelling of 4612552164 in words is "four billion, six hundred twelve million, five hundred fifty-two thousand, one hundred sixty-four".