2244776478336 has 480 divisors, whose sum is σ = 7779004498980. Its totient is φ = 640712540160.

The previous prime is 2244776478331. The next prime is 2244776478391. The reversal of 2244776478336 is 6338746774422.

2244776478336 is a `hidden beast` number, since 2 + 2 + 4 + 477 + 64 + 78 + 3 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1457042126400 + 787734351936 = 1207080^2 + 887544^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2244776478331) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 738168976 + ... + 738172016.

Almost surely, 2^{2244776478336} 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 2244776478336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889502249490).

2244776478336 is an abundant number, since it is smaller than the sum of its proper divisors (5534228020644).

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

2244776478336 is a wasteful number, since it uses less digits than its factorization.

2244776478336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4506 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 63.

The spelling of 2244776478336 in words is "two trillion, two hundred forty-four billion, seven hundred seventy-six million, four hundred seventy-eight thousand, three hundred thirty-six".