14164500 has 192 divisors, whose sum is σ = 50319360. Its totient is φ = 3024000.

The previous prime is 14164487. The next prime is 14164529. The reversal of 14164500 is 546141.

It is a super-3 number, since 3×14164500³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199465 + ... + 199535.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^14164500 is an apocalyptic number.

14164500 is a gapful number since it is divisible by the number (10) 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 14164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159680).

14164500 is an abundant number, since it is smaller than the sum of its proper divisors (36154860).

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

14164500 is a wasteful number, since it uses less digits than its factorization.

14164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 14164500 is about 3763.5754277017. The cubic root of 14164500 is about 241.9545255264.

The spelling of 14164500 in words is "fourteen million, one hundred sixty-four thousand, five hundred".