13338464 has 24 divisors (see below), whose sum is σ = 26526528. Its totient is φ = 6601600.

The previous prime is 13338461. The next prime is 13338467. The reversal of 13338464 is 46483331.

It is an interprime number because it is at equal distance from previous prime (13338461) and next prime (13338467).

It is a super-3 number, since 3×13338464³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13338464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13338461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (1105272).

Almost surely, 2^13338464 is an apocalyptic number.

It is an amenable number.

13338464 is a deficient number, since it is larger than the sum of its proper divisors (13188064).

13338464 is a wasteful number, since it uses less digits than its factorization.

13338464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4230 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 13338464 is about 3652.1861945963. The cubic root of 13338464 is about 237.1566317887.

The spelling of 13338464 in words is "thirteen million, three hundred thirty-eight thousand, four hundred sixty-four".