7848116499601 has 9 divisors (see below), whose sum is σ = 9129464454249. Its totient is φ = 6726940190964.

The previous prime is 7848116499599. The next prime is 7848116499611. The reversal of 7848116499601 is 1069946118487.

It is a happy number.

The square root of 7848116499601 is 2801449.

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

It is not a de Polignac number, because 7848116499601 - 2¹ = 7848116499599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7848116499611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19410040 + ... + 19810246.

It is an arithmetic number, because the mean of its divisors is an integer number (1014384939361).

Almost surely, 2^{7848116499601} is an apocalyptic number.

7848116499601 is the 2801449-th square number.

7848116499601 is the 1400725-th centered octagonal number.

It is an amenable number.

7848116499601 is a deficient number, since it is larger than the sum of its proper divisors (1281347954648).

7848116499601 is an frugal number, since it uses more digits than its factorization.

7848116499601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800428 (or 400214 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 64.

Multiplying 7848116499601 by its sum of digits (64), we get a square (502279455974464 = 22411592²).

The spelling of 7848116499601 in words is "seven trillion, eight hundred forty-eight billion, one hundred sixteen million, four hundred ninety-nine thousand, six hundred one".