34466304381601 has 3 divisors (see below), whose sum is σ = 34466310252403. Its totient is φ = 34466298510800.

The previous prime is 34466304381571. The next prime is 34466304381659. The reversal of 34466304381601 is 10618340366443.

The square root of 34466304381601 is 5870801.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 31805099439201 + 2661204942400 = 5639601^2 + 1631320^2 .

It is not a de Polignac number, because 34466304381601 - 2¹⁹ = 34466303857313 is a prime.

It is a super-2 number, since 2×34466304381601² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34466304381101) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2935401 + ... + 8806201.

Almost surely, 2^{34466304381601} is an apocalyptic number.

34466304381601 is the 5870801-st square number.

34466304381601 is the 2935401-st centered octagonal number.

It is an amenable number.

34466304381601 is a deficient number, since it is larger than the sum of its proper divisors (5870802).

34466304381601 is an frugal number, since it uses more digits than its factorization.

34466304381601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11741602 (or 5870801 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 49.

The spelling of 34466304381601 in words is "thirty-four trillion, four hundred sixty-six billion, three hundred four million, three hundred eighty-one thousand, six hundred one".