10046484605161 has 9 divisors (see below), whose sum is σ = 10145299950039. Its totient is φ = 9948622618536.

The previous prime is 10046484605149. The next prime is 10046484605173. The reversal of 10046484605161 is 16150648464001.

The square root of 10046484605161 is 3169619.

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

It is an interprime number because it is at equal distance from previous prime (10046484605149) and next prime (10046484605173).

It can be written as a sum of positive squares in only one way, i.e., 968580747225 + 9077903857936 = 984165^2 + 3012956^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10046484605161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10046484605461) 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, 326455371 + ... + 326486143.

Almost surely, 2^{10046484605161} is an apocalyptic number.

10046484605161 is the 3169619-th square number.

10046484605161 is the 1584810-th centered octagonal number.

It is an amenable number.

10046484605161 is a deficient number, since it is larger than the sum of its proper divisors (98815344878).

10046484605161 is an frugal number, since it uses more digits than its factorization.

10046484605161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61752 (or 30876 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 10046484605161 in words is "ten trillion, forty-six billion, four hundred eighty-four million, six hundred five thousand, one hundred sixty-one".