16418229120 has 256 divisors, whose sum is σ = 58389940800. Its totient is φ = 4359979008.

The previous prime is 16418229101. The next prime is 16418229187. The reversal of 16418229120 is 2192281461.

16418229120 is a `hidden beast` number, since 1 + 6 + 418 + 229 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4439112 + ... + 4442808.

Almost surely, 2^16418229120 is an apocalyptic number.

16418229120 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 16418229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29194970400).

16418229120 is an abundant number, since it is smaller than the sum of its proper divisors (41971711680).

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

16418229120 is a wasteful number, since it uses less digits than its factorization.

16418229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 16418229120 in words is "sixteen billion, four hundred eighteen million, two hundred twenty-nine thousand, one hundred twenty".