16444468800 has 336 divisors, whose sum is σ = 60173737920. Its totient is φ = 4368568320.

The previous prime is 16444468759. The next prime is 16444468819. The reversal of 16444468800 is 886444461.

It is a super-2 number, since 2×16444468800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14989852 + ... + 14990948.

Almost surely, 2^16444468800 is an apocalyptic number.

16444468800 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 16444468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30086868960).

16444468800 is an abundant number, since it is smaller than the sum of its proper divisors (43729269120).

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

16444468800 is a wasteful number, since it uses less digits than its factorization.

16444468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 16444468800 in words is "sixteen billion, four hundred forty-four million, four hundred sixty-eight thousand, eight hundred".