13918464 has 108 divisors (see below), whose sum is σ = 45916416. Its totient is φ = 3972096.

The previous prime is 13918451. The next prime is 13918477. The reversal of 13918464 is 46481931.

It is an interprime number because it is at equal distance from previous prime (13918451) and next prime (13918477).

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15697 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (425152).

Almost surely, 2^13918464 is an apocalyptic number.

13918464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208).

13918464 is an abundant number, since it is smaller than the sum of its proper divisors (31997952).

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

13918464 is an equidigital number, since it uses as much as digits as its factorization.

13918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 875 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13918464 is about 3730.7457699500. The cubic root of 13918464 is about 240.5454261871.

The spelling of 13918464 in words is "thirteen million, nine hundred eighteen thousand, four hundred sixty-four".