13648401 has 48 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 7862400.

The previous prime is 13648391. The next prime is 13648429. The reversal of 13648401 is 10484631.

13648401 is a `hidden beast` number, since 13 + 648 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 13648401 - 2⁷ = 13648273 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13640401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192196 + ... + 192266.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 2^13648401 is an apocalyptic number.

It is an amenable number.

13648401 is a deficient number, since it is larger than the sum of its proper divisors (8995311).

13648401 is a wasteful number, since it uses less digits than its factorization.

13648401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13648401 is about 3694.3742365927. The cubic root of 13648401 is about 238.9794687171.

The spelling of 13648401 in words is "thirteen million, six hundred forty-eight thousand, four hundred one".