45544130452800 has 1344 divisors, whose sum is σ = 191815780147200. Its totient is φ = 10296717926400.

The previous prime is 45544130452703. The next prime is 45544130452801. The reversal of 45544130452800 is 825403144554.

45544130452800 is a `hidden beast` number, since 4 + 5 + 54 + 41 + 30 + 4 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45544130452801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32005712889 + ... + 32005714311.

Almost surely, 2^{45544130452800} is an apocalyptic number.

45544130452800 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 45544130452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95907890073600).

45544130452800 is an abundant number, since it is smaller than the sum of its proper divisors (146271649694400).

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

45544130452800 is a wasteful number, since it uses less digits than its factorization.

45544130452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 45544130452800 in words is "forty-five trillion, five hundred forty-four billion, one hundred thirty million, four hundred fifty-two thousand, eight hundred".