193400393481409 has 9 divisors (see below), whose sum is σ = 193666755643491. Its totient is φ = 193134397218840.

The previous prime is 193400393481401. The next prime is 193400393481433. The reversal of 193400393481409 is 904184393004391.

The square root of 193400393481409 is 13906847.

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

193400393481409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 119481186255025 + 73919207226384 = 10930745^2 + 8597628^2 .

It is not a de Polignac number, because 193400393481409 - 2³ = 193400393481401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193400393481401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10527473994 + ... + 10527492364.

Almost surely, 2^{193400393481409} is an apocalyptic number.

193400393481409 is the 13906847-th square number.

193400393481409 is the 6953424-th centered octagonal number.

It is an amenable number.

193400393481409 is a deficient number, since it is larger than the sum of its proper divisors (266362162082).

193400393481409 is an frugal number, since it uses more digits than its factorization.

193400393481409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38256 (or 19128 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 193400393481409 in words is "one hundred ninety-three trillion, four hundred billion, three hundred ninety-three million, four hundred eighty-one thousand, four hundred nine".