16436169413664 has 1536 divisors, whose sum is σ = 61282477670400. Its totient is φ = 3720038400000.

The previous prime is 16436169413647. The next prime is 16436169413683. The reversal of 16436169413664 is 46631496163461.

It is a junction number, because it is equal to n+sod(n) for n = 16436169413598 and 16436169413607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27439347637 + ... + 27439348235.

It is an arithmetic number, because the mean of its divisors is an integer number (39897446400).

Almost surely, 2^{16436169413664} is an apocalyptic number.

16436169413664 is a gapful number since it is divisible by the number (14) 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 16436169413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30641238835200).

16436169413664 is an abundant number, since it is smaller than the sum of its proper divisors (44846308256736).

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

16436169413664 is a wasteful number, since it uses less digits than its factorization.

16436169413664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 60.

The spelling of 16436169413664 in words is "sixteen trillion, four hundred thirty-six billion, one hundred sixty-nine million, four hundred thirteen thousand, six hundred sixty-four".