193854746387929 has 27 divisors (see below), whose sum is σ = 214669926989791. Its totient is φ = 174926290156640.

The previous prime is 193854746387923. The next prime is 193854746387963. The reversal of 193854746387929 is 929783647458391.

The square root of 193854746387929 is 13923173.

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., 113871201392025 + 79983544995904 = 10671045^2 + 8943352^2 .

It is a de Polignac number, because none of the positive numbers 2^k-193854746387929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193854746387923) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20982217092 + ... + 20982226330.

Almost surely, 2^{193854746387929} is an apocalyptic number.

193854746387929 is the 13923173-rd square number.

193854746387929 is the 6961587-th centered octagonal number.

It is an amenable number.

193854746387929 is a deficient number, since it is larger than the sum of its proper divisors (20815180601862).

193854746387929 is an frugal number, since it uses more digits than its factorization.

193854746387929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18774 (or 9387 counting only the distinct ones).

The product of its digits is 19752284160, while the sum is 85.

The spelling of 193854746387929 in words is "one hundred ninety-three trillion, eight hundred fifty-four billion, seven hundred forty-six million, three hundred eighty-seven thousand, nine hundred twenty-nine".