12834657337401 has 99 divisors (see below), whose sum is σ = 20156754153487. Its totient is φ = 8171650967040.

The previous prime is 12834657337331. The next prime is 12834657337427. The reversal of 12834657337401 is 10473375643821.

The square root of 12834657337401 is 3582549.

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

12834657337401 is a `hidden beast` number, since 1 + 2 + 8 + 34 + 6 + 573 + 37 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11585180497401 + 1249476840000 = 3403701^2 + 1117800^2 .

It is not a de Polignac number, because 12834657337401 - 2¹⁹ = 12834656813113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12834657336401) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 20022866041 + ... + 20022866681.

Almost surely, 2^{12834657337401} is an apocalyptic number.

12834657337401 is the 3582549-th square number.

12834657337401 is the 1791275-th centered octagonal number.

It is an amenable number.

12834657337401 is a deficient number, since it is larger than the sum of its proper divisors (7322096816086).

12834657337401 is an frugal number, since it uses more digits than its factorization.

12834657337401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 12834657337401 in words is "twelve trillion, eight hundred thirty-four billion, six hundred fifty-seven million, three hundred thirty-seven thousand, four hundred one".