13815540081 has 24 divisors (see below), whose sum is σ = 22809720960. Its totient is φ = 7893516096.

The previous prime is 13815540061. The next prime is 13815540083. The reversal of 13815540081 is 18004551831.

13815540081 is a `hidden beast` number, since 1 + 38 + 1 + 5 + 540 + 0 + 81 = 666.

It is not a de Polignac number, because 13815540081 - 2⁷ = 13815539953 is a prime.

It is a super-2 number, since 2×13815540081² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13815540083) 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 23 ways as a sum of consecutive naturals, for example, 794205 + ... + 811413.

It is an arithmetic number, because the mean of its divisors is an integer number (950405040).

Almost surely, 2^13815540081 is an apocalyptic number.

It is an amenable number.

13815540081 is a deficient number, since it is larger than the sum of its proper divisors (8994180879).

13815540081 is a wasteful number, since it uses less digits than its factorization.

13815540081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29965 (or 29962 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 13815540081 in words is "thirteen billion, eight hundred fifteen million, five hundred forty thousand, eighty-one".