2243878169764 has 243 divisors, whose sum is σ = 5130066012897. Its totient is φ = 855633609600.

The previous prime is 2243878169737. The next prime is 2243878169803. The reversal of 2243878169764 is 4679618783422.

The square root of 2243878169764 is 1497958.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1318064724900 + 925813444864 = 1148070^2 + 962192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2243878169764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16378672704 + ... + 16378672840.

Almost surely, 2^{2243878169764} is an apocalyptic number.

2243878169764 is the 1497958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243878169764

2243878169764 is an abundant number, since it is smaller than the sum of its proper divisors (2886187843133).

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

2243878169764 is a wasteful number, since it uses less digits than its factorization.

2243878169764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 67.

The spelling of 2243878169764 in words is "two trillion, two hundred forty-three billion, eight hundred seventy-eight million, one hundred sixty-nine thousand, seven hundred sixty-four".