4638118364 has 144 divisors (see below), whose sum is σ = 9940353696. Its totient is φ = 1870848000.

The previous prime is 4638118319. The next prime is 4638118369.

4638118364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638118369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45921914 + ... + 45922014.

It is an arithmetic number, because the mean of its divisors is an integer number (69030234).

Almost surely, 2^4638118364 is an apocalyptic number.

4638118364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4638118364 is an abundant number, since it is smaller than the sum of its proper divisors (5302235332).

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

4638118364 is a wasteful number, since it uses less digits than its factorization.

4638118364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 233 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 4638118364 is about 68103.7323793638. The cubic root of 4638118364 is about 1667.6846928381.

The spelling of 4638118364 in words is "four billion, six hundred thirty-eight million, one hundred eighteen thousand, three hundred sixty-four".