45503968 has 48 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 21262336.

The previous prime is 45503957. The next prime is 45503977. The reversal of 45503968 is 86930554.

45503968 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 2×45503968² = 4141222207490048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45503968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126573 + ... + 126931.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^45503968 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 45503968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

45503968 is an abundant number, since it is smaller than the sum of its proper divisors (50024192).

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

45503968 is a wasteful number, since it uses less digits than its factorization.

45503968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 45503968 is about 6745.6629029325. The cubic root of 45503968 is about 357.0122266943.

The spelling of 45503968 in words is "forty-five million, five hundred three thousand, nine hundred sixty-eight".