17471143872 has 672 divisors, whose sum is σ = 66302046720. Its totient is φ = 4269957120.

The previous prime is 17471143871. The next prime is 17471143903. The reversal of 17471143872 is 27834117471.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×17471143872² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17471143871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52782747 + ... + 52783077.

It is an arithmetic number, because the mean of its divisors is an integer number (98663760).

Almost surely, 2^17471143872 is an apocalyptic number.

17471143872 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 17471143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33151023360).

17471143872 is an abundant number, since it is smaller than the sum of its proper divisors (48830902848).

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

17471143872 is a wasteful number, since it uses less digits than its factorization.

17471143872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 428 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 17471143872 in words is "seventeen billion, four hundred seventy-one million, one hundred forty-three thousand, eight hundred seventy-two".