5138574336 has 264 divisors, whose sum is σ = 17707205040. Its totient is φ = 1467777024.

The previous prime is 5138574323. The next prime is 5138574367. The reversal of 5138574336 is 6334758315.

It is a super-4 number, since 4×5138574336⁴ (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5138574291 and 5138574300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352856 + ... + 1356648.

Almost surely, 2^5138574336 is an apocalyptic number.

5138574336 is a gapful number since it is divisible by the number (56) 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 5138574336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853602520).

5138574336 is an abundant number, since it is smaller than the sum of its proper divisors (12568630704).

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

5138574336 is a wasteful number, since it uses less digits than its factorization.

5138574336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3805 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 5138574336 is about 71683.8498966120. The cubic root of 5138574336 is about 1725.6294655494.

The spelling of 5138574336 in words is "five billion, one hundred thirty-eight million, five hundred seventy-four thousand, three hundred thirty-six".