16438096265472 has 864 divisors, whose sum is σ = 55616258880000. Its totient is φ = 4573111910400.

The previous prime is 16438096265449. The next prime is 16438096265501. The reversal of 16438096265472 is 27456269083461.

16438096265472 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 80 + 9 + 6 + 2 + 6 + 547 + 2 = 666.

It is a super-2 number, since 2×16438096265472² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32294884354 + ... + 32294884862.

It is an arithmetic number, because the mean of its divisors is an integer number (64370670000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅16438096265472 = 32876192530944, but 3⋅16438096265472 = 49314288796416 is not.

Almost surely, 2^{16438096265472} is an apocalyptic number.

16438096265472 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 16438096265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27808129440000).

16438096265472 is an abundant number, since it is smaller than the sum of its proper divisors (39178162614528).

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

16438096265472 is a wasteful number, since it uses less digits than its factorization.

16438096265472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 16438096265472 in words is "sixteen trillion, four hundred thirty-eight billion, ninety-six million, two hundred sixty-five thousand, four hundred seventy-two".