16458229000 has 64 divisors (see below), whose sum is σ = 39553216560. Its totient is φ = 6405350400.

The previous prime is 16458228977. The next prime is 16458229009. The reversal of 16458229000 is 92285461.

16458229000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3379561956 + 13078667044 = 58134^2 + 114362^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (16458229009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185409 + ... + 259408.

Almost surely, 2^16458229000 is an apocalyptic number.

16458229000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16458229000 is an abundant number, since it is smaller than the sum of its proper divisors (23094987560).

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

16458229000 is a wasteful number, since it uses less digits than its factorization.

16458229000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444875 (or 444861 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 16458229000 in words is "sixteen billion, four hundred fifty-eight million, two hundred twenty-nine thousand".