17172748416 has 128 divisors (see below), whose sum is σ = 48693657600. Its totient is φ = 5346432000.

The previous prime is 17172748387. The next prime is 17172748427. The reversal of 17172748416 is 61484727171.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501441 + ... + 534591.

It is an arithmetic number, because the mean of its divisors is an integer number (380419200).

Almost surely, 2^17172748416 is an apocalyptic number.

17172748416 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 17172748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24346828800).

17172748416 is an abundant number, since it is smaller than the sum of its proper divisors (31520909184).

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

17172748416 is a wasteful number, since it uses less digits than its factorization.

17172748416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33258 (or 33246 counting only the distinct ones).

The product of its digits is 526848, while the sum is 48.

The spelling of 17172748416 in words is "seventeen billion, one hundred seventy-two million, seven hundred forty-eight thousand, four hundred sixteen".