14181264 has 80 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 4446720.

The previous prime is 14181259. The next prime is 14181301. The reversal of 14181264 is 46218141.

It is a happy number.

It is a super-2 number, since 2×14181264² = 402216497275392, which contains 22 as substring.

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 Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6379 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (539028).

Almost surely, 2^14181264 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 14181264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120).

14181264 is an abundant number, since it is smaller than the sum of its proper divisors (28940976).

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

14181264 is a wasteful number, since it uses less digits than its factorization.

14181264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1953 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14181264 is about 3765.8019066329. The cubic root of 14181264 is about 242.0499407439.

The spelling of 14181264 in words is "fourteen million, one hundred eighty-one thousand, two hundred sixty-four".