6014114106 has 384 divisors, whose sum is σ = 18032357376. Its totient is φ = 1291530240.

The previous prime is 6014114087. The next prime is 6014114147.

6014114106 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30528400 + ... + 30528596.

It is an arithmetic number, because the mean of its divisors is an integer number (46959264).

Almost surely, 2^6014114106 is an apocalyptic number.

6014114106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6014114106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016178688).

6014114106 is an abundant number, since it is smaller than the sum of its proper divisors (12018243270).

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

6014114106 is a wasteful number, since it uses less digits than its factorization.

6014114106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 6014114106 is about 77550.7195711297. The cubic root of 6014114106 is about 1818.5443122004.

It can be divided in two parts, 60141 and 14106, that added together give a palindrome (74247).

The spelling of 6014114106 in words is "six billion, fourteen million, one hundred fourteen thousand, one hundred six".