16488681656832 has 1920 divisors, whose sum is σ = 63973476864000. Its totient is φ = 4123793203200.

The previous prime is 16488681656779. The next prime is 16488681656849. The reversal of 16488681656832 is 23865618688461.

16488681656832 is a `hidden beast` number, since 1 + 6 + 48 + 8 + 6 + 8 + 16 + 568 + 3 + 2 = 666.

It is a super-2 number, since 2×16488681656832² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82857696669 + ... + 82857696867.

It is an arithmetic number, because the mean of its divisors is an integer number (33319519200).

Almost surely, 2^{16488681656832} is an apocalyptic number.

16488681656832 is a gapful number since it is divisible by the number (12) 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 16488681656832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31986738432000).

16488681656832 is an abundant number, since it is smaller than the sum of its proper divisors (47484795207168).

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

16488681656832 is an frugal number, since it uses more digits than its factorization.

16488681656832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 253 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 16488681656832 in words is "sixteen trillion, four hundred eighty-eight billion, six hundred eighty-one million, six hundred fifty-six thousand, eight hundred thirty-two".