6314126112 has 72 divisors (see below), whose sum is σ = 20520916416. Its totient is φ = 1804035456.

The previous prime is 6314126099. The next prime is 6314126153. The reversal of 6314126112 is 2116214136.

It is a happy number.

6314126112 is a `hidden beast` number, since 6 + 3 + 1 + 41 + 2 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1563988 + ... + 1568019.

It is an arithmetic number, because the mean of its divisors is an integer number (285012728).

Almost surely, 2^6314126112 is an apocalyptic number.

It is an amenable number.

6314126112 is an abundant number, since it is smaller than the sum of its proper divisors (14206790304).

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

6314126112 is a wasteful number, since it uses less digits than its factorization.

6314126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132030 (or 3132019 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6314126112 is about 79461.4756470077. The cubic root of 6314126112 is about 1848.2941287053.

It can be divided in two parts, 63141 and 26112, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 6314126112 in words is "six billion, three hundred fourteen million, one hundred twenty-six thousand, one hundred twelve".