45696168 has 96 divisors (see below), whose sum is σ = 143544960. Its totient is φ = 12862080.

The previous prime is 45696151. The next prime is 45696191. The reversal of 45696168 is 86169654.

It is an unprimeable number.

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, 35146 + ... + 36422.

It is an arithmetic number, because the mean of its divisors is an integer number (1495260).

Almost surely, 2^45696168 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 45696168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71772480).

45696168 is an abundant number, since it is smaller than the sum of its proper divisors (97848792).

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

45696168 is a wasteful number, since it uses less digits than its factorization.

45696168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1360 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 45696168 is about 6759.8940820105. The cubic root of 45696168 is about 357.5141709544.

The spelling of 45696168 in words is "forty-five million, six hundred ninety-six thousand, one hundred sixty-eight".