16446354400 has 144 divisors (see below), whose sum is σ = 48300658560. Its totient is φ = 5341939200.

The previous prime is 16446354389. The next prime is 16446354433. The reversal of 16446354400 is 445364461.

It is a self number, because there is not a number n which added to its sum of digits gives 16446354400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29115 + ... + 183685.

It is an arithmetic number, because the mean of its divisors is an integer number (335421240).

Almost surely, 2^16446354400 is an apocalyptic number.

16446354400 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 16446354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24150329280).

16446354400 is an abundant number, since it is smaller than the sum of its proper divisors (31854304160).

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

16446354400 is a wasteful number, since it uses less digits than its factorization.

16446354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154617 (or 154604 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 16446354400 in words is "sixteen billion, four hundred forty-six million, three hundred fifty-four thousand, four hundred".