45721604444800 has 48 divisors (see below), whose sum is σ = 112946650987950. Its totient is φ = 18288641776640.

The previous prime is 45721604444773. The next prime is 45721604444801. The reversal of 45721604444800 is 844440612754.

45721604444800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 39299759178304 + 6421845266496 = 6268952^2 + 2534136^2 .

It is a super-2 number, since 2×45721604444800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45721604444801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7143997495 + ... + 7144003894.

Almost surely, 2^{45721604444800} is an apocalyptic number.

45721604444800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45721604444800 is an abundant number, since it is smaller than the sum of its proper divisors (67225046543150).

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

45721604444800 is a wasteful number, since it uses less digits than its factorization.

45721604444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288001413 (or 14288001396 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 49.

The spelling of 45721604444800 in words is "forty-five trillion, seven hundred twenty-one billion, six hundred four million, four hundred forty-four thousand, eight hundred".