45658828800 has 936 divisors, whose sum is σ = 182636234144. Its totient is φ = 10829168640.

The previous prime is 45658828783. The next prime is 45658828801. The reversal of 45658828800 is 882885654.

It is a happy number.

45658828800 is a `hidden beast` number, since 4 + 56 + 588 + 2 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45658828801) 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 71 ways as a sum of consecutive naturals, for example, 443289549 + ... + 443289651.

Almost surely, 2^45658828800 is an apocalyptic number.

45658828800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45658828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91318117072).

45658828800 is an abundant number, since it is smaller than the sum of its proper divisors (136977405344).

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

45658828800 is a wasteful number, since it uses less digits than its factorization.

45658828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 45658828800 in words is "forty-five billion, six hundred fifty-eight million, eight hundred twenty-eight thousand, eight hundred".