16448432000 has 768 divisors, whose sum is σ = 55908403200. Its totient is φ = 4672512000.

The previous prime is 16448431999. The next prime is 16448432003. The reversal of 16448432000 is 23484461.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16448432003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208207961 + ... + 208208039.

It is an arithmetic number, because the mean of its divisors is an integer number (72797400).

Almost surely, 2^16448432000 is an apocalyptic number.

16448432000 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 16448432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27954201600).

16448432000 is an abundant number, since it is smaller than the sum of its proper divisors (39459971200).

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

16448432000 is a wasteful number, since it uses less digits than its factorization.

16448432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 16448432000 in words is "sixteen billion, four hundred forty-eight million, four hundred thirty-two thousand".