4656222144 has 392 divisors, whose sum is σ = 16190915040. Its totient is φ = 1300396032.

The previous prime is 4656222127. The next prime is 4656222163. The reversal of 4656222144 is 4412226564.

4656222144 is a `hidden beast` number, since 4 + 6 + 5 + 622 + 21 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4656222099 and 4656222108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17309242 + ... + 17309510.

Almost surely, 2^4656222144 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 4656222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095457520).

4656222144 is an abundant number, since it is smaller than the sum of its proper divisors (11534692896).

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

4656222144 is an equidigital number, since it uses as much as digits as its factorization.

4656222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 334 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4656222144 is about 68236.5162065005. The cubic root of 4656222144 is about 1669.8516779359.

The spelling of 4656222144 in words is "four billion, six hundred fifty-six million, two hundred twenty-two thousand, one hundred forty-four".