45618530227200 has 2640 divisors, whose sum is σ = 203444157312000. Its totient is φ = 10085857689600.

The previous prime is 45618530227187. The next prime is 45618530227219. The reversal of 45618530227200 is 272203581654.

45618530227200 is a `hidden beast` number, since 4 + 5 + 61 + 85 + 302 + 2 + 7 + 200 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 22048587766 + ... + 22048589834.

It is an arithmetic number, because the mean of its divisors is an integer number (77062180800).

Almost surely, 2^{45618530227200} is an apocalyptic number.

45618530227200 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 45618530227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101722078656000).

45618530227200 is an abundant number, since it is smaller than the sum of its proper divisors (157825627084800).

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

45618530227200 is a wasteful number, since it uses less digits than its factorization.

45618530227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45618530227200 in words is "forty-five trillion, six hundred eighteen billion, five hundred thirty million, two hundred twenty-seven thousand, two hundred".