16448209920 has 440 divisors, whose sum is σ = 62434957464. Its totient is φ = 4126408704.

The previous prime is 16448209919. The next prime is 16448209963. The reversal of 16448209920 is 2990284461.

16448209920 is a `hidden beast` number, since 1 + 64 + 482 + 0 + 99 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2368963584 + 14079246336 = 48672^2 + 118656^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7049074 + ... + 7051406.

Almost surely, 2^16448209920 is an apocalyptic number.

16448209920 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 16448209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31217478732).

16448209920 is an abundant number, since it is smaller than the sum of its proper divisors (45986747544).

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

16448209920 is a wasteful number, since it uses less digits than its factorization.

16448209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16448209920 in words is "sixteen billion, four hundred forty-eight million, two hundred nine thousand, nine hundred twenty".