14045164 has 48 divisors (see below), whose sum is σ = 29736000. Its totient is φ = 5795328.

The previous prime is 14045153. The next prime is 14045167. The reversal of 14045164 is 46154041.

14045164 = T₉₇ + T₉₈ + ... + T₄₃₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39612 + ... + 39964.

It is an arithmetic number, because the mean of its divisors is an integer number (619500).

Almost surely, 2^14045164 is an apocalyptic number.

14045164 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 14045164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868000).

14045164 is an abundant number, since it is smaller than the sum of its proper divisors (15690836).

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

14045164 is a wasteful number, since it uses less digits than its factorization.

14045164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 14045164 is about 3747.6878205101. The cubic root of 14045164 is about 241.2731188526.

The spelling of 14045164 in words is "fourteen million, forty-five thousand, one hundred sixty-four".