45569994724800 has 2688 divisors, whose sum is σ = 207826431590400. Its totient is φ = 9513982033920.

The previous prime is 45569994724721. The next prime is 45569994724801. The reversal of 45569994724800 is 842749996554.

45569994724800 is a `hidden beast` number, since 4 + 5 + 5 + 69 + 99 + 472 + 4 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45569994724801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75074126097 + ... + 75074126703.

It is an arithmetic number, because the mean of its divisors is an integer number (77316380800).

Almost surely, 2^{45569994724800} is an apocalyptic number.

45569994724800 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 45569994724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103913215795200).

45569994724800 is an abundant number, since it is smaller than the sum of its proper divisors (162256436865600).

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

45569994724800 is a wasteful number, since it uses less digits than its factorization.

45569994724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 45569994724800 in words is "forty-five trillion, five hundred sixty-nine billion, nine hundred ninety-four million, seven hundred twenty-four thousand, eight hundred".