431308338612228 has 576 divisors, whose sum is σ = 1439235885158400. Its totient is φ = 109274053363200.

The previous prime is 431308338612169. The next prime is 431308338612233. The reversal of 431308338612228 is 822216833803134.

431308338612228 is a `hidden beast` number, since 4 + 3 + 1 + 30 + 8 + 3 + 386 + 1 + 2 + 228 = 666.

It is a super-2 number, since 2×431308338612228² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 28155115953 + ... + 28155131271.

Almost surely, 2^{431308338612228} 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 431308338612228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719617942579200).

431308338612228 is an abundant number, since it is smaller than the sum of its proper divisors (1007927546546172).

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

431308338612228 is a wasteful number, since it uses less digits than its factorization.

431308338612228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22909 (or 22890 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 431308338612228 in words is "four hundred thirty-one trillion, three hundred eight billion, three hundred thirty-eight million, six hundred twelve thousand, two hundred twenty-eight".