13467725163 has 12 divisors (see below), whose sum is σ = 19480148688. Its totient is φ = 8966129040.

The previous prime is 13467725147. The next prime is 13467725171. The reversal of 13467725163 is 36152776431.

13467725163 is a `hidden beast` number, since 1 + 3 + 4 + 67 + 72 + 516 + 3 = 666.

It is not a de Polignac number, because 13467725163 - 2⁴ = 13467725147 is a prime.

It is a super-2 number, since 2×13467725163² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13467725263) 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 11 ways as a sum of consecutive naturals, for example, 1022628 + ... + 1035713.

It is an arithmetic number, because the mean of its divisors is an integer number (1623345724).

Almost surely, 2^13467725163 is an apocalyptic number.

13467725163 is a deficient number, since it is larger than the sum of its proper divisors (6012423525).

13467725163 is a wasteful number, since it uses less digits than its factorization.

13467725163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059074 (or 2059071 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 13467725163 in words is "thirteen billion, four hundred sixty-seven million, seven hundred twenty-five thousand, one hundred sixty-three".