16948132608 has 288 divisors, whose sum is σ = 50882452992. Its totient is φ = 4963532800.

The previous prime is 16948132561. The next prime is 16948132637. The reversal of 16948132608 is 80623184961.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57843310 + ... + 57843602.

It is an arithmetic number, because the mean of its divisors is an integer number (176675184).

Almost surely, 2^16948132608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16948132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25441226496).

16948132608 is an abundant number, since it is smaller than the sum of its proper divisors (33934320384).

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

16948132608 is a wasteful number, since it uses less digits than its factorization.

16948132608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 16948132608 in words is "sixteen billion, nine hundred forty-eight million, one hundred thirty-two thousand, six hundred eight".