2268493847104 has 63 divisors (see below), whose sum is σ = 4580568447811. Its totient is φ = 1114672972160.

The previous prime is 2268493847101. The next prime is 2268493847117. The reversal of 2268493847104 is 4017483948622.

The square root of 2268493847104 is 1506152.

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

It is a super-2 number, since 2×2268493847104² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2268493847101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 710902149 + ... + 710905339.

Almost surely, 2^{2268493847104} is an apocalyptic number.

2268493847104 is the 1506152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268493847104

2268493847104 is an abundant number, since it is smaller than the sum of its proper divisors (2312074600707).

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

2268493847104 is an frugal number, since it uses more digits than its factorization.

2268493847104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 58.

The spelling of 2268493847104 in words is "two trillion, two hundred sixty-eight billion, four hundred ninety-three million, eight hundred forty-seven thousand, one hundred four".