46706713361361 has 15 divisors (see below), whose sum is σ = 69771848879161. Its totient is φ = 31137767902188.

The previous prime is 46706713361359. The next prime is 46706713361377. The reversal of 46706713361361 is 16316331760764.

The square root of 46706713361361 is 6834231.

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

46706713361361 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 6 + 7 + 13 + 3 + 613 + 6 + 1 = 666.

It is not a de Polignac number, because 46706713361361 - 2¹ = 46706713361359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46706713361298 and 46706713361307.

It is not an unprimeable number, because it can be changed into a prime (46706713361381) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 61128400 + ... + 61887758.

Almost surely, 2^{46706713361361} is an apocalyptic number.

46706713361361 is the 6834231-st square number.

46706713361361 is the 3417116-th centered octagonal number.

It is an amenable number.

46706713361361 is a deficient number, since it is larger than the sum of its proper divisors (23065135517800).

46706713361361 is an frugal number, since it uses more digits than its factorization.

46706713361361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518730 (or 759362 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 46706713361361 in words is "forty-six trillion, seven hundred six billion, seven hundred thirteen million, three hundred sixty-one thousand, three hundred sixty-one".