16018808832000 has 1632 divisors, whose sum is σ = 64602945563520. Its totient is φ = 3936721305600.

The previous prime is 16018808831951. The next prime is 16018808832001. The reversal of 16018808832000 is 23880881061.

16018808832000 is a `hidden beast` number, since 1 + 601 + 8 + 8 + 0 + 8 + 8 + 32 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×16018808832000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16018808832001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25878527691 + ... + 25878528309.

Almost surely, 2^{16018808832000} is an apocalyptic number.

16018808832000 is a gapful number since it is divisible by the number (10) 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 16018808832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32301472781760).

16018808832000 is an abundant number, since it is smaller than the sum of its proper divisors (48584136731520).

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

16018808832000 is an frugal number, since it uses more digits than its factorization.

16018808832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 16018808832000 in words is "sixteen trillion, eighteen billion, eight hundred eight million, eight hundred thirty-two thousand".