431222461362 has 192 divisors, whose sum is σ = 1194714233856. Its totient is φ = 109147409280.

The previous prime is 431222461339. The next prime is 431222461391. The reversal of 431222461362 is 263164222134.

431222461362 is a `hidden beast` number, since 4 + 3 + 12 + 2 + 24 + 613 + 6 + 2 = 666.

It is a super-2 number, since 2×431222461362² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26393748 + ... + 26410080.

It is an arithmetic number, because the mean of its divisors is an integer number (6222469968).

Almost surely, 2^431222461362 is an apocalyptic number.

431222461362 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 431222461362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597357116928).

431222461362 is an abundant number, since it is smaller than the sum of its proper divisors (763491772494).

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

431222461362 is a wasteful number, since it uses less digits than its factorization.

431222461362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16845 (or 16842 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 431222461362 its reverse (263164222134), we get a palindrome (694386683496).

The spelling of 431222461362 in words is "four hundred thirty-one billion, two hundred twenty-two million, four hundred sixty-one thousand, three hundred sixty-two".