7114312128 has 448 divisors, whose sum is σ = 24488948736. Its totient is φ = 1784217600.

The previous prime is 7114312081. The next prime is 7114312141. The reversal of 7114312128 is 8212134117.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×7114312128² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7114312095 and 7114312104.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 73343376 + ... + 73343472.

It is an arithmetic number, because the mean of its divisors is an integer number (54662832).

Almost surely, 2^7114312128 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 7114312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244474368).

7114312128 is an abundant number, since it is smaller than the sum of its proper divisors (17374636608).

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

7114312128 is a wasteful number, since it uses less digits than its factorization.

7114312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 7114312128 is about 84346.3818311135. The cubic root of 7114312128 is about 1923.2879253694.

The spelling of 7114312128 in words is "seven billion, one hundred fourteen million, three hundred twelve thousand, one hundred twenty-eight".