2245105596672 has 288 divisors, whose sum is σ = 6932363356800. Its totient is φ = 715802959872.

The previous prime is 2245105596659. The next prime is 2245105596733. The reversal of 2245105596672 is 2766955015422.

2245105596672 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 10 + 559 + 6 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21395598 + ... + 21500274.

It is an arithmetic number, because the mean of its divisors is an integer number (24070706100).

Almost surely, 2^{2245105596672} 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 2245105596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466181678400).

2245105596672 is an abundant number, since it is smaller than the sum of its proper divisors (4687257760128).

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

2245105596672 is a wasteful number, since it uses less digits than its factorization.

2245105596672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104838 (or 104818 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2245105596672 in words is "two trillion, two hundred forty-five billion, one hundred five million, five hundred ninety-six thousand, six hundred seventy-two".