6311346431136 has 96 divisors (see below), whose sum is σ = 16595816243328. Its totient is φ = 2100161925120.

The previous prime is 6311346431113. The next prime is 6311346431149.

6311346431136 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149250316 + ... + 149292596.

It is an arithmetic number, because the mean of its divisors is an integer number (172873085868).

Almost surely, 2^{6311346431136} is an apocalyptic number.

It is an amenable number.

6311346431136 is an abundant number, since it is smaller than the sum of its proper divisors (10284469812192).

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

6311346431136 is a wasteful number, since it uses less digits than its factorization.

6311346431136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44934 (or 44926 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The spelling of 6311346431136 in words is "six trillion, three hundred eleven billion, three hundred forty-six million, four hundred thirty-one thousand, one hundred thirty-six".