4538121168 has 160 divisors (see below), whose sum is σ = 14803623936. Its totient is φ = 1167243264.

The previous prime is 4538121157. The next prime is 4538121209. The reversal of 4538121168 is 8611218354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114105 + ... + 148647.

Almost surely, 2^4538121168 is an apocalyptic number.

4538121168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538121168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401811968).

4538121168 is an abundant number, since it is smaller than the sum of its proper divisors (10265502768).

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

4538121168 is a wasteful number, since it uses less digits than its factorization.

4538121168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34601 (or 34595 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 4538121168 is about 67365.5785100967. The cubic root of 4538121168 is about 1655.6124965563.

The spelling of 4538121168 in words is "four billion, five hundred thirty-eight million, one hundred twenty-one thousand, one hundred sixty-eight".