16448256000 has 864 divisors, whose sum is σ = 66271186800. Its totient is φ = 3919872000.

The previous prime is 16448255963. The next prime is 16448256037. The reversal of 16448256000 is 65284461.

16448256000 is a `hidden beast` number, since 1 + 6 + 4 + 48 + 2 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16448255963) and next prime (16448256037).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 278783971 + ... + 278784029.

Almost surely, 2^16448256000 is an apocalyptic number.

16448256000 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 16448256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33135593400).

16448256000 is an abundant number, since it is smaller than the sum of its proper divisors (49822930800).

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

16448256000 is a wasteful number, since it uses less digits than its factorization.

16448256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 16448256000 in words is "sixteen billion, four hundred forty-eight million, two hundred fifty-six thousand".