16488603648 has 392 divisors, whose sum is σ = 54149615856. Its totient is φ = 4976640000.

The previous prime is 16488603647. The next prime is 16488603667. The reversal of 16488603648 is 84630688461.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 16488603594 and 16488603603.

It is not an unprimeable number, because it can be changed into a prime (16488603641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 65691523 + ... + 65691773.

Almost surely, 2^16488603648 is an apocalyptic number.

16488603648 is a gapful number since it is divisible by the number (18) 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 16488603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27074807928).

16488603648 is an abundant number, since it is smaller than the sum of its proper divisors (37661012208).

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

16488603648 is an frugal number, since it uses more digits than its factorization.

16488603648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 16488603648 in words is "sixteen billion, four hundred eighty-eight million, six hundred three thousand, six hundred forty-eight".