45533508894720 has 1792 divisors, whose sum is σ = 204313274933760. Its totient is φ = 9459597312000.

The previous prime is 45533508894691. The next prime is 45533508894733. The reversal of 45533508894720 is 2749880533554.

45533508894720 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 3 + 508 + 89 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 9196828245 + ... + 9196833195.

Almost surely, 2^{45533508894720} is an apocalyptic number.

45533508894720 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 45533508894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102156637466880).

45533508894720 is an abundant number, since it is smaller than the sum of its proper divisors (158779766039040).

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

45533508894720 is an frugal number, since it uses more digits than its factorization.

45533508894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 45533508894720 in words is "forty-five trillion, five hundred thirty-three billion, five hundred eight million, eight hundred ninety-four thousand, seven hundred twenty".