45431822568 has 192 divisors, whose sum is σ = 127993582080. Its totient is φ = 13424146560.

The previous prime is 45431822497. The next prime is 45431822573. The reversal of 45431822568 is 86522813454.

45431822568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45431822568² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20039371 + ... + 20041637.

It is an arithmetic number, because the mean of its divisors is an integer number (666633240).

Almost surely, 2^45431822568 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 45431822568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63996791040).

45431822568 is an abundant number, since it is smaller than the sum of its proper divisors (82561759512).

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

45431822568 is a wasteful number, since it uses less digits than its factorization.

45431822568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2453 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 45431822568 in words is "forty-five billion, four hundred thirty-one million, eight hundred twenty-two thousand, five hundred sixty-eight".