4645638144 has 416 divisors, whose sum is σ = 16701776640. Its totient is φ = 1245708288.

The previous prime is 4645638017. The next prime is 4645638157. The reversal of 4645638144 is 4418365464.

4645638144 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 638 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4645638144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13160272 + ... + 13160624.

Almost surely, 2^4645638144 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 4645638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350888320).

4645638144 is an abundant number, since it is smaller than the sum of its proper divisors (12056138496).

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

4645638144 is a wasteful number, since it uses less digits than its factorization.

4645638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 382 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4645638144 is about 68158.9183012759. The cubic root of 4645638144 is about 1668.5854784402.

The spelling of 4645638144 in words is "four billion, six hundred forty-five million, six hundred thirty-eight thousand, one hundred forty-four".