631341143136 has 72 divisors (see below), whose sum is σ = 1958592419784. Its totient is φ = 191315496960.

The previous prime is 631341143077. The next prime is 631341143141.

631341143136 is a `hidden beast` number, since 63 + 13 + 411 + 43 + 136 = 666.

631341143136 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 631341143136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99640321 + ... + 99646656.

It is an arithmetic number, because the mean of its divisors is an integer number (27202672497).

Almost surely, 2^631341143136 is an apocalyptic number.

631341143136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

631341143136 is an abundant number, since it is smaller than the sum of its proper divisors (1327251276648).

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

631341143136 is a wasteful number, since it uses less digits than its factorization.

631341143136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199287004 (or 199286993 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 631341 and 143136, that added together give a palindrome (774477).

The spelling of 631341143136 in words is "six hundred thirty-one billion, three hundred forty-one million, one hundred forty-three thousand, one hundred thirty-six".