45785382748896 has 288 divisors, whose sum is σ = 147184607727360. Its totient is φ = 12391578630144.

The previous prime is 45785382748891. The next prime is 45785382748901. The reversal of 45785382748896 is 69884728358754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45785382748891) and next prime (45785382748901).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45785382748891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915810876 + ... + 915860868.

It is an arithmetic number, because the mean of its divisors is an integer number (511057665720).

Almost surely, 2^{45785382748896} 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 45785382748896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592303863680).

45785382748896 is an abundant number, since it is smaller than the sum of its proper divisors (101399224978464).

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

45785382748896 is a wasteful number, since it uses less digits than its factorization.

45785382748896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60286 (or 60271 counting only the distinct ones).

The product of its digits is 26011238400, while the sum is 84.

The spelling of 45785382748896 in words is "forty-five trillion, seven hundred eighty-five billion, three hundred eighty-two million, seven hundred forty-eight thousand, eight hundred ninety-six".