45941065851744 has 768 divisors, whose sum is σ = 161980342272000. Its totient is φ = 12383943137280.

The previous prime is 45941065851743. The next prime is 45941065851883. The reversal of 45941065851744 is 44715856014954.

45941065851744 is a `hidden beast` number, since 4 + 5 + 9 + 4 + 1 + 0 + 6 + 585 + 1 + 7 + 44 = 666.

It is a super-2 number, since 2×45941065851744² (a number of 28 digits) contains 22 as substring.

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 (45941065851743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17813517847 + ... + 17813520425.

It is an arithmetic number, because the mean of its divisors is an integer number (210911904000).

Almost surely, 2^{45941065851744} 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 45941065851744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80990171136000).

45941065851744 is an abundant number, since it is smaller than the sum of its proper divisors (116039276420256).

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

45941065851744 is a wasteful number, since it uses less digits than its factorization.

45941065851744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 45941065851744 in words is "forty-five trillion, nine hundred forty-one billion, sixty-five million, eight hundred fifty-one thousand, seven hundred forty-four".