10476427566361 has 9 divisors (see below), whose sum is σ = 10498701374431. Its totient is φ = 10454200934584.

The previous prime is 10476427566349. The next prime is 10476427566379. The reversal of 10476427566361 is 16366572467401.

The square root of 10476427566361 is 3236731.

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., 8519282525961 + 1957145040400 = 2918781^2 + 1398980^2 .

It is not a de Polignac number, because 10476427566361 - 2¹⁹ = 10476427042073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10476427566296 and 10476427566305.

It is not an unprimeable number, because it can be changed into a prime (10476427566331) 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, 1647492900 + ... + 1647499258.

Almost surely, 2^{10476427566361} is an apocalyptic number.

10476427566361 is the 3236731-st square number.

10476427566361 is the 1618366-th centered octagonal number.

It is an amenable number.

10476427566361 is a deficient number, since it is larger than the sum of its proper divisors (22273808070).

10476427566361 is an frugal number, since it uses more digits than its factorization.

10476427566361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 10476427566361 in words is "ten trillion, four hundred seventy-six billion, four hundred twenty-seven million, five hundred sixty-six thousand, three hundred sixty-one".