6313406043136 has 88 divisors (see below), whose sum is σ = 13330738429184. Its totient is φ = 2983829667840.

The previous prime is 6313406043101. The next prime is 6313406043187.

6313406043136 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947625 + ... + 3677608.

It is an arithmetic number, because the mean of its divisors is an integer number (151485663968).

Almost surely, 2^{6313406043136} is an apocalyptic number.

It is an amenable number.

6313406043136 is an abundant number, since it is smaller than the sum of its proper divisors (7017332386048).

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

6313406043136 is a wasteful number, since it uses less digits than its factorization.

6313406043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625327 (or 4625309 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 40.

The spelling of 6313406043136 in words is "six trillion, three hundred thirteen billion, four hundred six million, forty-three thousand, one hundred thirty-six".