17249144896 has 21 divisors (see below), whose sum is σ = 34230856989. Its totient is φ = 8624047104.

The previous prime is 17249144893. The next prime is 17249144897. The reversal of 17249144896 is 69844194271.

It is a happy number.

The square root of 17249144896 is 131336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4329640000 + 12919504896 = 65800^2 + 113664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17249144893) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1042480 + ... + 1058896.

It is an arithmetic number, because the mean of its divisors is an integer number (1630040809).

Almost surely, 2^17249144896 is an apocalyptic number.

17249144896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17249144896 is the 131336-th square number.

It is an amenable number.

17249144896 is a deficient number, since it is larger than the sum of its proper divisors (16981712093).

17249144896 is an frugal number, since it uses more digits than its factorization.

17249144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32846 (or 16419 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The spelling of 17249144896 in words is "seventeen billion, two hundred forty-nine million, one hundred forty-four thousand, eight hundred ninety-six".