431536641336 has 112 divisors (see below), whose sum is σ = 1213424116800. Its totient is φ = 143812081152.

The previous prime is 431536641329. The next prime is 431536641343. The reversal of 431536641336 is 633146635134.

It is a happy number.

431536641336 is a `hidden beast` number, since 43 + 1 + 536 + 6 + 41 + 3 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (431536641329) and next prime (431536641343).

It is a junction number, because it is equal to n+sod(n) for n = 431536641291 and 431536641300.

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 27 ways as a sum of consecutive naturals, for example, 48325320 + ... + 48334248.

It is an arithmetic number, because the mean of its divisors is an integer number (10834143900).

Almost surely, 2^431536641336 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 431536641336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606712058400).

431536641336 is an abundant number, since it is smaller than the sum of its proper divisors (781887475464).

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

431536641336 is an equidigital number, since it uses as much as digits as its factorization.

431536641336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17240 (or 17221 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 431536641336 in words is "four hundred thirty-one billion, five hundred thirty-six million, six hundred forty-one thousand, three hundred thirty-six".