16488670032576 has 672 divisors, whose sum is σ = 57439787258880. Its totient is φ = 4543423488000.

The previous prime is 16488670032551. The next prime is 16488670032683. The reversal of 16488670032576 is 67523007688461.

16488670032576 is a `hidden beast` number, since 1 + 6 + 488 + 6 + 70 + 0 + 32 + 57 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3615141336 + ... + 3615145896.

Almost surely, 2^{16488670032576} is an apocalyptic number.

16488670032576 is a gapful number since it is divisible by the number (16) 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 16488670032576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28719893629440).

16488670032576 is an abundant number, since it is smaller than the sum of its proper divisors (40951117226304).

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

16488670032576 is a wasteful number, since it uses less digits than its factorization.

16488670032576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 16488670032576 in words is "sixteen trillion, four hundred eighty-eight billion, six hundred seventy million, thirty-two thousand, five hundred seventy-six".