631543262345136 has 160 divisors (see below), whose sum is σ = 1871442858086400. Its totient is φ = 203701471004160.

The previous prime is 631543262345123. The next prime is 631543262345161.

It is a happy number.

631543262345136 is a `hidden beast` number, since 6 + 3 + 1 + 5 + 4 + 3 + 2 + 623 + 4 + 5 + 1 + 3 + 6 = 666.

631543262345136 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120766485 + ... + 125887371.

It is an arithmetic number, because the mean of its divisors is an integer number (11696517863040).

Almost surely, 2^{631543262345136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631543262345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935721429043200).

631543262345136 is an abundant number, since it is smaller than the sum of its proper divisors (1239899595741264).

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

631543262345136 is a wasteful number, since it uses less digits than its factorization.

631543262345136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130144 (or 5130132 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 631543262345136 in words is "six hundred thirty-one trillion, five hundred forty-three billion, two hundred sixty-two million, three hundred forty-five thousand, one hundred thirty-six".