41848116256144 has 135 divisors (see below), whose sum is σ = 89648000016897. Its totient is φ = 18910215878400.

The previous prime is 41848116256129. The next prime is 41848116256147. The reversal of 41848116256144 is 44165261184814.

The square root of 41848116256144 is 6469012.

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., 8498507648400 + 33349608607744 = 2915220^2 + 5774912^2 .

It is a super-3 number, since 3×41848116256144³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41848116256147) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66320310709 + ... + 66320311339.

Almost surely, 2^{41848116256144} is an apocalyptic number.

41848116256144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

41848116256144 is the 6469012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41848116256144

41848116256144 is an abundant number, since it is smaller than the sum of its proper divisors (47799883760753).

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

41848116256144 is an frugal number, since it uses more digits than its factorization.

41848116256144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 877 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 55.

The spelling of 41848116256144 in words is "forty-one trillion, eight hundred forty-eight billion, one hundred sixteen million, two hundred fifty-six thousand, one hundred forty-four".