71048041000000 has 147 divisors (see below), whose sum is σ = 176251099757827. Its totient is φ = 28415844800000.

The previous prime is 71048040999967. The next prime is 71048041000007. The reversal of 71048041000000 is 14084017.

The square root of 71048041000000 is 8429000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 35045736963136 + 36002304036864 = 5919944^2 + 6000192^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71048041000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8428995786 + ... + 8429004214.

Almost surely, 2^{71048041000000} is an apocalyptic number.

71048041000000 is the 8429000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71048041000000

71048041000000 is an abundant number, since it is smaller than the sum of its proper divisors (105203058757827).

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

71048041000000 is an frugal number, since it uses more digits than its factorization.

71048041000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16900 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

71048041000000 divided by its sum of digits (25) gives a square (2841921640000 = 1685800²).

Adding to 71048041000000 its reverse (14084017), we get a palindrome (71048055084017).

The spelling of 71048041000000 in words is "seventy-one trillion, forty-eight billion, forty-one million", and thus it is an aban number and an uban number.