45546624 has 160 divisors (see below), whose sum is σ = 142179840. Its totient is φ = 14446080.

The previous prime is 45546623. The next prime is 45546653. The reversal of 45546624 is 42664554.

45546624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (115200) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45546623) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 238369 + ... + 238559.

It is an arithmetic number, because the mean of its divisors is an integer number (888624).

Almost surely, 2^45546624 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 45546624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089920).

45546624 is an abundant number, since it is smaller than the sum of its proper divisors (96633216).

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

45546624 is a wasteful number, since it uses less digits than its factorization.

45546624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 45546624 is about 6748.8238975395. The cubic root of 45546624 is about 357.1237477928.

The spelling of 45546624 in words is "forty-five million, five hundred forty-six thousand, six hundred twenty-four".