6012414144 has 84 divisors (see below), whose sum is σ = 18800201160. Its totient is φ = 1821941760.

The previous prime is 6012414143. The next prime is 6012414151. The reversal of 6012414144 is 4414142106.

6012414144 is a `hidden beast` number, since 6 + 0 + 1 + 241 + 414 + 4 = 666.

It is a super-2 number, since 2×6012414144² = 72298247677942505472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6012414143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468129 + ... + 480800.

Almost surely, 2^6012414144 is an apocalyptic number.

6012414144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6012414144 is an abundant number, since it is smaller than the sum of its proper divisors (12787787016).

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

6012414144 is a wasteful number, since it uses less digits than its factorization.

6012414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948958 (or 948945 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6012414144 is about 77539.7584726700. The cubic root of 6012414144 is about 1818.3729515479.

The spelling of 6012414144 in words is "six billion, twelve million, four hundred fourteen thousand, one hundred forty-four".