17045064442900 has 72 divisors (see below), whose sum is σ = 39854414187224. Its totient is φ = 6290179545600.

The previous prime is 17045064442873. The next prime is 17045064442921. The reversal of 17045064442900 is 924446054071.

It can be written as a sum of positive squares in 12 ways, for example, as 9953293053456 + 7091771389444 = 3154884^2 + 2663038^2 .

It is a super-2 number, since 2×17045064442900² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1103427 + ... + 5942026.

Almost surely, 2^{17045064442900} is an apocalyptic number.

17045064442900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17045064442900 is an abundant number, since it is smaller than the sum of its proper divisors (22809349744324).

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

17045064442900 is a wasteful number, since it uses less digits than its factorization.

17045064442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047341 (or 7047334 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 17045064442900 in words is "seventeen trillion, forty-five billion, sixty-four million, four hundred forty-two thousand, nine hundred".