16433529805056 has 1152 divisors, whose sum is σ = 57138670632960. Its totient is φ = 4074867523584.

The previous prime is 16433529805051. The next prime is 16433529805081. The reversal of 16433529805056 is 65050892533461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16433529804987 and 16433529805005.

It is not an unprimeable number, because it can be changed into a prime (16433529805051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44778010185 + ... + 44778010551.

It is an arithmetic number, because the mean of its divisors is an integer number (49599540480).

Almost surely, 2^{16433529805056} is an apocalyptic number.

16433529805056 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 16433529805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569335316480).

16433529805056 is an abundant number, since it is smaller than the sum of its proper divisors (40705140827904).

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

16433529805056 is a wasteful number, since it uses less digits than its factorization.

16433529805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 16433529805056 in words is "sixteen trillion, four hundred thirty-three billion, five hundred twenty-nine million, eight hundred five thousand, fifty-six".