13846464 has 70 divisors (see below), whose sum is σ = 41060624. Its totient is φ = 4613760.

The previous prime is 13846433. The next prime is 13846477. The reversal of 13846464 is 46464831.

13846464 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3849 + ... + 6519.

Almost surely, 2^13846464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20530312).

13846464 is an abundant number, since it is smaller than the sum of its proper divisors (27214160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13846464 is an equidigital number, since it uses as much as digits as its factorization.

13846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 13846464 is about 3721.0837131137. The cubic root of 13846464 is about 240.1299296468.

The spelling of 13846464 in words is "thirteen million, eight hundred forty-six thousand, four hundred sixty-four".