10346959455561 has 27 divisors (see below), whose sum is σ = 15360990701511. Its totient is φ = 6711309668304.

The previous prime is 10346959455559. The next prime is 10346959455563. The reversal of 10346959455561 is 16555495964301.

The square root of 10346959455561 is 3216669.

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

10346959455561 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 69 + 5 + 9 + 4 + 5 + 5 + 561 = 666.

10346959455561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10346959455559) and next prime (10346959455563).

It can be written as a sum of positive squares in only one way, i.e., 9258601412025 + 1088358043536 = 3042795^2 + 1043244^2 .

It is not a de Polignac number, because 10346959455561 - 2¹ = 10346959455559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10346959455563) 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, 357035770 + ... + 357064748.

Almost surely, 2^{10346959455561} is an apocalyptic number.

10346959455561 is the 3216669-th square number.

10346959455561 is the 1608335-th centered octagonal number.

It is an amenable number.

10346959455561 is a deficient number, since it is larger than the sum of its proper divisors (5014031245950).

10346959455561 is an frugal number, since it uses more digits than its factorization.

10346959455561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58038 (or 29019 counting only the distinct ones).

The product of its (nonzero) digits is 87480000, while the sum is 63.

The spelling of 10346959455561 in words is "ten trillion, three hundred forty-six billion, nine hundred fifty-nine million, four hundred fifty-five thousand, five hundred sixty-one".