2726144418816 has 1485 divisors, whose sum is σ = 10325742083241. Its totient is φ = 718983143424.

The previous prime is 2726144418779. The next prime is 2726144418841. The reversal of 2726144418816 is 6188144416272.

The square root of 2726144418816 is 1651104.

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

2726144418816 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 1 + 444 + 188 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 403275801600 + 2322868617216 = 635040^2 + 1524096^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 209703416826 + ... + 209703416838.

Almost surely, 2^{2726144418816} is an apocalyptic number.

2726144418816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2726144418816 is the 1651104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2726144418816

2726144418816 is an abundant number, since it is smaller than the sum of its proper divisors (7599597664425).

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

2726144418816 is an frugal number, since it uses more digits than its factorization.

2726144418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 25 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 2726144418816 in words is "two trillion, seven hundred twenty-six billion, one hundred forty-four million, four hundred eighteen thousand, eight hundred sixteen".