193480950326049 has 45 divisors (see below), whose sum is σ = 297056876188611. Its totient is φ = 125498152463760.

The previous prime is 193480950325987. The next prime is 193480950326071. The reversal of 193480950326049 is 940623059084391.

The square root of 193480950326049 is 13909743.

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

193480950326049 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 80 + 9 + 503 + 2 + 6 + 0 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173129411358225 + 20351538967824 = 13157865^2 + 4511268^2 .

It is not a de Polignac number, because 193480950326049 - 2¹¹ = 193480950324001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193480950326149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4631923534 + ... + 4631965304.

Almost surely, 2^{193480950326049} is an apocalyptic number.

193480950326049 is the 13909743-rd square number.

193480950326049 is the 6954872-nd centered octagonal number.

It is an amenable number.

193480950326049 is a deficient number, since it is larger than the sum of its proper divisors (103575925862562).

193480950326049 is an frugal number, since it uses more digits than its factorization.

193480950326049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83628 (or 41811 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 193480950326049 in words is "one hundred ninety-three trillion, four hundred eighty billion, nine hundred fifty million, three hundred twenty-six thousand, forty-nine".