45237820647744 has 168 divisors, whose sum is σ = 133894986301440. Its totient is φ = 14587812172800.

The previous prime is 45237820647743. The next prime is 45237820647791. The reversal of 45237820647744 is 44774602873254.

45237820647744 is a `hidden beast` number, since 4 + 52 + 3 + 78 + 2 + 0 + 6 + 477 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45237820647743) by changing a digit.

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, 51507649 + ... + 52378559.

It is an arithmetic number, because the mean of its divisors is an integer number (796993966080).

Almost surely, 2^{45237820647744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45237820647744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66947493150720).

45237820647744 is an abundant number, since it is smaller than the sum of its proper divisors (88657165653696).

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

45237820647744 is a wasteful number, since it uses less digits than its factorization.

45237820647744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873869 (or 873856 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 63.

The spelling of 45237820647744 in words is "forty-five trillion, two hundred thirty-seven billion, eight hundred twenty million, six hundred forty-seven thousand, seven hundred forty-four".