45773053526400 has 192 divisors, whose sum is σ = 150967932433920. Its totient is φ = 12189717514240.

The previous prime is 45773053526371. The next prime is 45773053526411. The reversal of 45773053526400 is 462535037754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3924169 + ... + 10341431.

It is an arithmetic number, because the mean of its divisors is an integer number (786291314760).

Almost surely, 2^{45773053526400} is an apocalyptic number.

45773053526400 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 45773053526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75483966216960).

45773053526400 is an abundant number, since it is smaller than the sum of its proper divisors (105194878907520).

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

45773053526400 is a wasteful number, since it uses less digits than its factorization.

45773053526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418033 (or 6418016 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 51.

The spelling of 45773053526400 in words is "forty-five trillion, seven hundred seventy-three billion, fifty-three million, five hundred twenty-six thousand, four hundred".