13734354468121 has 27 divisors (see below), whose sum is σ = 16034453855487. Its totient is φ = 11729899903680.

The previous prime is 13734354468073. The next prime is 13734354468137. The reversal of 13734354468121 is 12186445343731.

The square root of 13734354468121 is 3705989.

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., 3703604025625 + 10030750442496 = 1924475^2 + 3167136^2 .

It is not a de Polignac number, because 13734354468121 - 2¹³ = 13734354459929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13734354468181) 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, 8742427266 + ... + 8742428836.

Almost surely, 2^{13734354468121} is an apocalyptic number.

13734354468121 is the 3705989-th square number.

13734354468121 is the 1852995-th centered octagonal number.

It is an amenable number.

13734354468121 is a deficient number, since it is larger than the sum of its proper divisors (2300099387366).

13734354468121 is an frugal number, since it uses more digits than its factorization.

13734354468121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 1915 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 13734354468121 in words is "thirteen trillion, seven hundred thirty-four billion, three hundred fifty-four million, four hundred sixty-eight thousand, one hundred twenty-one".