16471256256 has 896 divisors, whose sum is σ = 64861440000. Its totient is φ = 3977330688.

The previous prime is 16471256251. The next prime is 16471256261. The reversal of 16471256256 is 65265217461.

16471256256 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 12 + 5 + 625 + 6 = 666.

16471256256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16471256251) and next prime (16471256261).

It is not an unprimeable number, because it can be changed into a prime (16471256251) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 110545270 + ... + 110545418.

It is an arithmetic number, because the mean of its divisors is an integer number (72390000).

Almost surely, 2^16471256256 is an apocalyptic number.

16471256256 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 16471256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32430720000).

16471256256 is an abundant number, since it is smaller than the sum of its proper divisors (48390183744).

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

16471256256 is a wasteful number, since it uses less digits than its factorization.

16471256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 16471256256 in words is "sixteen billion, four hundred seventy-one million, two hundred fifty-six thousand, two hundred fifty-six".