17793987397264 has 135 divisors (see below), whose sum is σ = 39036600119433. Its totient is φ = 7853312328576.

The previous prime is 17793987397261. The next prime is 17793987397301. The reversal of 17793987397264 is 46279378939771.

The square root of 17793987397264 is 4218292.

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., 2632246656400 + 15161740740864 = 1622420^2 + 3893808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17793987397261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5045075469 + ... + 5045078995.

Almost surely, 2^{17793987397264} is an apocalyptic number.

17793987397264 is the 4218292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17793987397264

17793987397264 is an abundant number, since it is smaller than the sum of its proper divisors (21242612722169).

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

17793987397264 is an frugal number, since it uses more digits than its factorization.

17793987397264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 3565 counting only the distinct ones).

The product of its digits is 6049137024, while the sum is 82.

The spelling of 17793987397264 in words is "seventeen trillion, seven hundred ninety-three billion, nine hundred eighty-seven million, three hundred ninety-seven thousand, two hundred sixty-four".