431035523155552 has 192 divisors, whose sum is σ = 1032186032640000. Its totient is φ = 172964729659392.

The previous prime is 431035523155543. The next prime is 431035523155553. The reversal of 431035523155552 is 255551325530134.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 431035523155496 and 431035523155505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431035523155553) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5879671474 + ... + 5879744782.

It is an arithmetic number, because the mean of its divisors is an integer number (5375968920000).

Almost surely, 2^{431035523155552} 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 431035523155552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516093016320000).

431035523155552 is an abundant number, since it is smaller than the sum of its proper divisors (601150509484448).

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

431035523155552 is a wasteful number, since it uses less digits than its factorization.

431035523155552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81301 (or 81293 counting only the distinct ones).

The product of its (nonzero) digits is 6750000, while the sum is 49.

Adding to 431035523155552 its reverse (255551325530134), we get a palindrome (686586848685686).

The spelling of 431035523155552 in words is "four hundred thirty-one trillion, thirty-five billion, five hundred twenty-three million, one hundred fifty-five thousand, five hundred fifty-two".