16480053648 has 240 divisors, whose sum is σ = 49411056240. Its totient is φ = 5117952000.

The previous prime is 16480053641. The next prime is 16480053673. The reversal of 16480053648 is 84635008461.

It can be written as a sum of positive squares in 8 ways, for example, as 5817744 + 16474235904 = 2412^2 + 128352^2 .

It is not an unprimeable number, because it can be changed into a prime (16480053641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17292340 + ... + 17293292.

It is an arithmetic number, because the mean of its divisors is an integer number (205879401).

Almost surely, 2^16480053648 is an apocalyptic number.

16480053648 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 16480053648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24705528120).

16480053648 is an abundant number, since it is smaller than the sum of its proper divisors (32931002592).

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

16480053648 is a wasteful number, since it uses less digits than its factorization.

16480053648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

It can be divided in two parts, 1648005 and 3648, that added together give a triangular number (1651653 = T₁₈₁₇).

The spelling of 16480053648 in words is "sixteen billion, four hundred eighty million, fifty-three thousand, six hundred forty-eight".