631444343444136 has 128 divisors (see below), whose sum is σ = 1863535652352000. Its totient is φ = 197730940651776.

The previous prime is 631444343444081. The next prime is 631444343444183.

631444343444136 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 4 + 434 + 34 + 44 + 136 = 666.

631444343444136 is nontrivially palindromic in base 10.

631444343444136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 1362001896 + ... + 1362465431.

It is an arithmetic number, because the mean of its divisors is an integer number (14558872284000).

Almost surely, 2^{631444343444136} is an apocalyptic number.

It is an amenable number.

631444343444136 is an abundant number, since it is smaller than the sum of its proper divisors (1232091308907864).

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

631444343444136 is a wasteful number, since it uses less digits than its factorization.

631444343444136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724467408 (or 2724467398 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 631444343444136 in words is "six hundred thirty-one trillion, four hundred forty-four billion, three hundred forty-three million, four hundred forty-four thousand, one hundred thirty-six".