16448790960 has 640 divisors, whose sum is σ = 70395494400. Its totient is φ = 3445079040.

The previous prime is 16448790949. The next prime is 16448790977. The reversal of 16448790960 is 6909784461.

16448790960 is a `hidden beast` number, since 16 + 4 + 487 + 90 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16448790897 and 16448790906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8904757 + ... + 8906603.

It is an arithmetic number, because the mean of its divisors is an integer number (109992960).

Almost surely, 2^16448790960 is an apocalyptic number.

16448790960 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 16448790960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35197747200).

16448790960 is an abundant number, since it is smaller than the sum of its proper divisors (53946703440).

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

16448790960 is a wasteful number, since it uses less digits than its factorization.

16448790960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16448790960 in words is "sixteen billion, four hundred forty-eight million, seven hundred ninety thousand, nine hundred sixty".