16988440943232 has 256 divisors, whose sum is σ = 54730033920000. Its totient is φ = 5144962821120.

The previous prime is 16988440943191. The next prime is 16988440943233. The reversal of 16988440943232 is 23234904488961.

16988440943232 is a `hidden beast` number, since 1 + 6 + 9 + 88 + 440 + 94 + 3 + 23 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16988440943232.

It is not an unprimeable number, because it can be changed into a prime (16988440943233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64457673 + ... + 64720695.

It is an arithmetic number, because the mean of its divisors is an integer number (213789195000).

Almost surely, 2^{16988440943232} is an apocalyptic number.

16988440943232 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 16988440943232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27365016960000).

16988440943232 is an abundant number, since it is smaller than the sum of its proper divisors (37741592976768).

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

16988440943232 is a wasteful number, since it uses less digits than its factorization.

16988440943232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264756 (or 264738 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 16988440943232 in words is "sixteen trillion, nine hundred eighty-eight billion, four hundred forty million, nine hundred forty-three thousand, two hundred thirty-two".