4993108128 has 36 divisors (see below), whose sum is σ = 14199152058. Its totient is φ = 1664369280.

The previous prime is 4993108103. The next prime is 4993108129. The reversal of 4993108128 is 8218013994.

4993108128 is a `hidden beast` number, since 499 + 31 + 0 + 8 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4879301904 + 113806224 = 69852^2 + 10668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4993108128² = 49862257555799328768, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (4993108129) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 8668303 + ... + 8668878.

Almost surely, 2^4993108128 is an apocalyptic number.

4993108128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4993108128 is an abundant number, since it is smaller than the sum of its proper divisors (9206043930).

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

4993108128 is a wasteful number, since it uses less digits than its factorization.

4993108128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17337197 (or 17337186 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 4993108128 is about 70661.9284197651. The cubic root of 4993108128 is about 1709.1899230646.

The spelling of 4993108128 in words is "four billion, nine hundred ninety-three million, one hundred eight thousand, one hundred twenty-eight".