45386566118208 has 1008 divisors, whose sum is σ = 160335923005440. Its totient is φ = 12688788962304.

The previous prime is 45386566118207. The next prime is 45386566118209. The reversal of 45386566118208 is 80281166568354.

45386566118208 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 6 + 5 + 6 + 611 + 8 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45386566118207) and next prime (45386566118209).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45386566118207) 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 143 ways as a sum of consecutive naturals, for example, 10206106641 + ... + 10206111087.

It is an arithmetic number, because the mean of its divisors is an integer number (159063415680).

Almost surely, 2^{45386566118208} is an apocalyptic number.

45386566118208 is a gapful number since it is divisible by the number (48) 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 45386566118208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80167961502720).

45386566118208 is an abundant number, since it is smaller than the sum of its proper divisors (114949356887232).

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

45386566118208 is a wasteful number, since it uses less digits than its factorization.

45386566118208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 45386566118208 in words is "forty-five trillion, three hundred eighty-six billion, five hundred sixty-six million, one hundred eighteen thousand, two hundred eight".