45132004800 has 504 divisors, whose sum is σ = 164516206400. Its totient is φ = 11731599360.

The previous prime is 45132004741. The next prime is 45132004837. The reversal of 45132004800 is 840023154.

45132004800 is a `hidden beast` number, since 451 + 3 + 200 + 4 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110346996 + ... + 110347404.

Almost surely, 2^45132004800 is an apocalyptic number.

45132004800 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 45132004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82258103200).

45132004800 is an abundant number, since it is smaller than the sum of its proper divisors (119384201600).

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

45132004800 is a wasteful number, since it uses less digits than its factorization.

45132004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45132004800 its reverse (840023154), we get a palindrome (45972027954).

The spelling of 45132004800 in words is "forty-five billion, one hundred thirty-two million, four thousand, eight hundred".