14164992 has 132 divisors (see below), whose sum is σ = 43109820. Its totient is φ = 4472832.

The previous prime is 14164979. The next prime is 14165023. The reversal of 14164992 is 29946141.

It is a happy number.

14164992 is a `hidden beast` number, since 1 + 4 + 1 + 649 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 5308416 = 2976^2 + 2304^2 .

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.

Its product of digits (15552) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267238 + ... + 267290.

Almost surely, 2^14164992 is an apocalyptic number.

14164992 is a gapful number since it is divisible by the number (12) 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 14164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21554910).

14164992 is an abundant number, since it is smaller than the sum of its proper divisors (28944828).

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

14164992 is a wasteful number, since it uses less digits than its factorization.

14164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 14164992 is about 3763.6407905112. The cubic root of 14164992 is about 241.9573269018.

The spelling of 14164992 in words is "fourteen million, one hundred sixty-four thousand, nine hundred ninety-two".