45643968 has 84 divisors (see below), whose sum is σ = 132212080. Its totient is φ = 15054336.

The previous prime is 45643967. The next prime is 45643987. The reversal of 45643968 is 86934654.

It is not an unprimeable number, because it can be changed into a prime (45643967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62421 + ... + 63147.

Almost surely, 2^45643968 is an apocalyptic number.

45643968 is a gapful number since it is divisible by the number (48) 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 45643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66106040).

45643968 is an abundant number, since it is smaller than the sum of its proper divisors (86568112).

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

45643968 is a wasteful number, since it uses less digits than its factorization.

45643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45643968 is about 6756.0319715052. The cubic root of 45643968 is about 357.3779863012.

The spelling of 45643968 in words is "forty-five million, six hundred forty-three thousand, nine hundred sixty-eight".