6146646466416 has 40 divisors (see below), whose sum is σ = 15937865871120. Its totient is φ = 2041265488896.

The previous prime is 6146646466399. The next prime is 6146646466481.

6146646466416 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6146646466416.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 238007785 + ... + 238033608.

It is an arithmetic number, because the mean of its divisors is an integer number (398446646778).

Almost surely, 2^{6146646466416} is an apocalyptic number.

It is an amenable number.

6146646466416 is an abundant number, since it is smaller than the sum of its proper divisors (9791219404704).

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

6146646466416 is a wasteful number, since it uses less digits than its factorization.

6146646466416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476041673 (or 476041667 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 60.

The spelling of 6146646466416 in words is "six trillion, one hundred forty-six billion, six hundred forty-six million, four hundred sixty-six thousand, four hundred sixteen".