7845438542841 has 45 divisors (see below), whose sum is σ = 12450357798879. Its totient is φ = 4922359212096.

The previous prime is 7845438542839. The next prime is 7845438542857. The reversal of 7845438542841 is 1482458345487.

The square root of 7845438542841 is 2800971.

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

7845438542841 is a `hidden beast` number, since 7 + 8 + 4 + 5 + 4 + 3 + 8 + 542 + 84 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6108040388025 + 1737398154816 = 2471445^2 + 1318104^2 .

It is not a de Polignac number, because 7845438542841 - 2¹ = 7845438542839 is a prime.

It is a super-2 number, since 2×7845438542841² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7845438542831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 428539410 + ... + 428557716.

Almost surely, 2^{7845438542841} is an apocalyptic number.

7845438542841 is the 2800971-st square number.

7845438542841 is the 1400486-th centered octagonal number.

It is an amenable number.

7845438542841 is a deficient number, since it is larger than the sum of its proper divisors (4604919256038).

7845438542841 is an frugal number, since it uses more digits than its factorization.

7845438542841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36660 (or 18327 counting only the distinct ones).

The product of its digits is 137625600, while the sum is 63.

The spelling of 7845438542841 in words is "seven trillion, eight hundred forty-five billion, four hundred thirty-eight million, five hundred forty-two thousand, eight hundred forty-one".