45551968 has 144 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 16692480.

The previous prime is 45551951. The next prime is 45551969. The reversal of 45551968 is 86915554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45551969) 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 23 ways as a sum of consecutive naturals, for example, 327643 + ... + 327781.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 2^45551968 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 45551968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

45551968 is an abundant number, since it is smaller than the sum of its proper divisors (75105632).

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

45551968 is a wasteful number, since it uses less digits than its factorization.

45551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its digits is 216000, while the sum is 43.

The square root of 45551968 is about 6749.2198067629. The cubic root of 45551968 is about 357.1377143945.

The spelling of 45551968 in words is "forty-five million, five hundred fifty-one thousand, nine hundred sixty-eight".