45553984 has 56 divisors (see below), whose sum is σ = 107826048. Its totient is φ = 18670080.

The previous prime is 45553979. The next prime is 45553987. The reversal of 45553984 is 48935554.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 45553984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45553987) 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 7 ways as a sum of consecutive naturals, for example, 8094 + ... + 12514.

Almost surely, 2^45553984 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 45553984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913024).

45553984 is an abundant number, since it is smaller than the sum of its proper divisors (62272064).

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

45553984 is a wasteful number, since it uses less digits than its factorization.

45553984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4453 counting only the distinct ones).

The product of its digits is 432000, while the sum is 43.

The square root of 45553984 is about 6749.3691557063. The cubic root of 45553984 is about 357.1429829485.

The spelling of 45553984 in words is "forty-five million, five hundred fifty-three thousand, nine hundred eighty-four".