431666555224050 has 288 divisors, whose sum is σ = 1169925518505744. Its totient is φ = 114105581568000.

The previous prime is 431666555224007. The next prime is 431666555224211. The reversal of 431666555224050 is 50422555666134.

It can be written as a sum of positive squares in 24 ways, for example, as 9390810900249 + 422275744323801 = 3064443^2 + 20549349^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45625886320 + ... + 45625895780.

Almost surely, 2^{431666555224050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431666555224050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962759252872).

431666555224050 is an abundant number, since it is smaller than the sum of its proper divisors (738258963281694).

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

431666555224050 is a wasteful number, since it uses less digits than its factorization.

431666555224050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614 (or 11606 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 431666555224050 in words is "four hundred thirty-one trillion, six hundred sixty-six billion, five hundred fifty-five million, two hundred twenty-four thousand, fifty".