8838214272 has 192 divisors, whose sum is σ = 26391722760. Its totient is φ = 2836684800.

The previous prime is 8838214223. The next prime is 8838214277. The reversal of 8838214272 is 2724128388.

It can be written as a sum of positive squares in 4 ways, for example, as 8675804736 + 162409536 = 93144^2 + 12744^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8838214272² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8838214277) 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 23 ways as a sum of consecutive naturals, for example, 4303998 + ... + 4306050.

Almost surely, 2^8838214272 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 8838214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13195861380).

8838214272 is an abundant number, since it is smaller than the sum of its proper divisors (17553508488).

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

8838214272 is a wasteful number, since it uses less digits than its factorization.

8838214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2196 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 8838214272 is about 94011.7773047611. Note that the first 3 decimals coincide. The cubic root of 8838214272 is about 2067.5443876800.

The spelling of 8838214272 in words is "eight billion, eight hundred thirty-eight million, two hundred fourteen thousand, two hundred seventy-two".