16433320617672 has 256 divisors, whose sum is σ = 49140493516800. Its totient is φ = 4482375045120.

The previous prime is 16433320617671. The next prime is 16433320617773. The reversal of 16433320617672 is 27671602333461.

It is not an unprimeable number, because it can be changed into a prime (16433320617671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63729979 + ... + 63987317.

It is an arithmetic number, because the mean of its divisors is an integer number (191955052800).

Almost surely, 2^{16433320617672} is an apocalyptic number.

16433320617672 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 16433320617672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570246758400).

16433320617672 is an abundant number, since it is smaller than the sum of its proper divisors (32707172899128).

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

16433320617672 is a wasteful number, since it uses less digits than its factorization.

16433320617672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257596 (or 257592 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 16433320617672 in words is "sixteen trillion, four hundred thirty-three billion, three hundred twenty million, six hundred seventeen thousand, six hundred seventy-two".