8013797841 has 64 divisors (see below), whose sum is σ = 13292052480. Its totient is φ = 4190883840.

The previous prime is 8013797797. The next prime is 8013797861. The reversal of 8013797841 is 1487973108.

8013797841 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8013797841 - 2⁶ = 8013797777 is a prime.

It is a super-2 number, since 2×8013797841² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8013797861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887481 + ... + 1891721.

It is an arithmetic number, because the mean of its divisors is an integer number (207688320).

Almost surely, 2^8013797841 is an apocalyptic number.

It is an amenable number.

8013797841 is a deficient number, since it is larger than the sum of its proper divisors (5278254639).

8013797841 is a wasteful number, since it uses less digits than its factorization.

8013797841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414.

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 8013797841 is about 89519.8181465981. The cubic root of 8013797841 is about 2001.1491596729.

The spelling of 8013797841 in words is "eight billion, thirteen million, seven hundred ninety-seven thousand, eight hundred forty-one".