45617745360096 has 2304 divisors, whose sum is σ = 183247426897920. Its totient is φ = 10897408327680.

The previous prime is 45617745360091. The next prime is 45617745360163. The reversal of 45617745360096 is 69006354771654.

It is a happy number.

45617745360096 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 7 + 7 + 4 + 536 + 0 + 0 + 96 = 666.

45617745360096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45617745360091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28564648770 + ... + 28564650366.

It is an arithmetic number, because the mean of its divisors is an integer number (79534473480).

Almost surely, 2^{45617745360096} 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 45617745360096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91623713448960).

45617745360096 is an abundant number, since it is smaller than the sum of its proper divisors (137629681537824).

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

45617745360096 is a wasteful number, since it uses less digits than its factorization.

45617745360096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 45617745360096 in words is "forty-five trillion, six hundred seventeen billion, seven hundred forty-five million, three hundred sixty thousand, ninety-six".