6414334146 has 72 divisors (see below), whose sum is σ = 16080114960. Its totient is φ = 1841423760.

The previous prime is 6414334133. The next prime is 6414334181.

6414334146 is a `hidden beast` number, since 641 + 4 + 3 + 3 + 4 + 1 + 4 + 6 = 666.

6414334146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6414334146² = 82287365073083098632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6414334146.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36120 + ... + 118883.

It is an arithmetic number, because the mean of its divisors is an integer number (223334930).

Almost surely, 2^6414334146 is an apocalyptic number.

6414334146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6414334146 is an abundant number, since it is smaller than the sum of its proper divisors (9665780814).

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

6414334146 is a wasteful number, since it uses less digits than its factorization.

6414334146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155052 (or 155038 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 6414334146 is about 80089.5383055740. The cubic root of 6414334146 is about 1858.0206084872.

It can be divided in two parts, 64143 and 34146, that added together give a palindrome (98289).

The spelling of 6414334146 in words is "six billion, four hundred fourteen million, three hundred thirty-four thousand, one hundred forty-six".