6005551413114 has 96 divisors (see below), whose sum is σ = 14283774093888. Its totient is φ = 1808485056000.

The previous prime is 6005551413107. The next prime is 6005551413133. The reversal of 6005551413114 is 4113141555006.

6005551413114 is a `hidden beast` number, since 6 + 0 + 0 + 5 + 5 + 514 + 131 + 1 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73982329 + ... + 74063459.

It is an arithmetic number, because the mean of its divisors is an integer number (148789313478).

Almost surely, 2^{6005551413114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005551413114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141887046944).

6005551413114 is an abundant number, since it is smaller than the sum of its proper divisors (8278222680774).

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

6005551413114 is a wasteful number, since it uses less digits than its factorization.

6005551413114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83484 (or 83481 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 6005551413114 in words is "six trillion, five billion, five hundred fifty-one million, four hundred thirteen thousand, one hundred fourteen".