4612320232164 has 144 divisors (see below), whose sum is σ = 12498545404800. Its totient is φ = 1430401420800.

The previous prime is 4612320232133. The next prime is 4612320232199.

4612320232164 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 320 + 2 + 321 + 6 + 4 = 666.

4612320232164 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105641739 + ... + 105685389.

It is an arithmetic number, because the mean of its divisors is an integer number (86795454200).

Almost surely, 2^{4612320232164} 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 4612320232164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249272702400).

4612320232164 is an abundant number, since it is smaller than the sum of its proper divisors (7886225172636).

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

4612320232164 is a wasteful number, since it uses less digits than its factorization.

4612320232164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47170 (or 47165 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 4612320 and 232164, that added together give a palindrome (4844484).

The spelling of 4612320232164 in words is "four trillion, six hundred twelve billion, three hundred twenty million, two hundred thirty-two thousand, one hundred sixty-four".