45846544 has 80 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 20262528.

The previous prime is 45846539. The next prime is 45846553. The reversal of 45846544 is 44564854.

It is a junction number, because it is equal to n+sod(n) for n = 45846497 and 45846506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552327 + ... + 552409.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^45846544 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 45846544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

45846544 is an abundant number, since it is smaller than the sum of its proper divisors (54147056).

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

45846544 is a wasteful number, since it uses less digits than its factorization.

45846544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 307200, while the sum is 40.

The square root of 45846544 is about 6771.0076059624. The cubic root of 45846544 is about 357.9059082957.

The spelling of 45846544 in words is "forty-five million, eight hundred forty-six thousand, five hundred forty-four".