45345896268288 has 640 divisors, whose sum is σ = 153407935549440. Its totient is φ = 11561066496000.

The previous prime is 45345896268287. The next prime is 45345896268293. The reversal of 45345896268288 is 88286269854354.

It is not an unprimeable number, because it can be changed into a prime (45345896268287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1922972658 + ... + 1922996238.

It is an arithmetic number, because the mean of its divisors is an integer number (239699899296).

Almost surely, 2^{45345896268288} is an apocalyptic number.

45345896268288 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 45345896268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76703967774720).

45345896268288 is an abundant number, since it is smaller than the sum of its proper divisors (108062039281152).

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

45345896268288 is a wasteful number, since it uses less digits than its factorization.

45345896268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23920 (or 23904 counting only the distinct ones).

The product of its digits is 6370099200, while the sum is 78.

The spelling of 45345896268288 in words is "forty-five trillion, three hundred forty-five billion, eight hundred ninety-six million, two hundred sixty-eight thousand, two hundred eighty-eight".