45201967372800 has 720 divisors, whose sum is σ = 184947963108480. Its totient is φ = 10327784325120.

The previous prime is 45201967372747. The next prime is 45201967372801. The reversal of 45201967372800 is 827376910254.

It is a happy number.

45201967372800 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 196 + 7 + 372 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (45201967372801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2340969546 + ... + 2340988854.

It is an arithmetic number, because the mean of its divisors is an integer number (256872170984).

It is a 1-persistent number, because it is pandigital, but 2⋅45201967372800 = 90403934745600 is not.

Almost surely, 2^{45201967372800} is an apocalyptic number.

45201967372800 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 45201967372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92473981554240).

45201967372800 is an abundant number, since it is smaller than the sum of its proper divisors (139745995735680).

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

45201967372800 is a wasteful number, since it uses less digits than its factorization.

45201967372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22253 (or 22229 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 45201967372800 in words is "forty-five trillion, two hundred one billion, nine hundred sixty-seven million, three hundred seventy-two thousand, eight hundred".