431563922944 has 160 divisors (see below), whose sum is σ = 1077171270912. Its totient is φ = 167811072000.

The previous prime is 431563922941. The next prime is 431563923031. The reversal of 431563922944 is 449229365134.

It is a junction number, because it is equal to n+sod(n) for n = 431563922891 and 431563922900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431563922941) 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 15 ways as a sum of consecutive naturals, for example, 20529399 + ... + 20550409.

Almost surely, 2^431563922944 is an apocalyptic number.

431563922944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431563922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538585635456).

431563922944 is an abundant number, since it is smaller than the sum of its proper divisors (645607347968).

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

431563922944 is a wasteful number, since it uses less digits than its factorization.

431563922944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21568 (or 21552 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 52.

The spelling of 431563922944 in words is "four hundred thirty-one billion, five hundred sixty-three million, nine hundred twenty-two thousand, nine hundred forty-four".