18114096 has 240 divisors, whose sum is σ = 65352960. Its totient is φ = 4193280.

The previous prime is 18114091. The next prime is 18114097. The reversal of 18114096 is 69041181.

18114096 = T₃₀₉ + T₃₁₀ + ... + T₅₁₆.

It is not an unprimeable number, because it can be changed into a prime (18114091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624610 + ... + 624638.

It is an arithmetic number, because the mean of its divisors is an integer number (272304).

Almost surely, 2^18114096 is an apocalyptic number.

18114096 is a gapful number since it is divisible by the number (16) 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 18114096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32676480).

18114096 is an abundant number, since it is smaller than the sum of its proper divisors (47238864).

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

18114096 is a wasteful number, since it uses less digits than its factorization.

18114096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 18114096 is about 4256.0657889652. The cubic root of 18114096 is about 262.6267070834.

The spelling of 18114096 in words is "eighteen million, one hundred fourteen thousand, ninety-six".