463162117661125 has 16 divisors (see below), whose sum is σ = 592124525843760. Its totient is φ = 361492384512000.

The previous prime is 463162117661123. The next prime is 463162117661141. The reversal of 463162117661125 is 521166711261364.

It can be written as a sum of positive squares in 8 ways, for example, as 243303624865249 + 219858492795876 = 15598193^2 + 14827626^2 .

It is not a de Polignac number, because 463162117661125 - 2¹ = 463162117661123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463162117661123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45186542940 + ... + 45186553189.

It is an arithmetic number, because the mean of its divisors is an integer number (37007782865235).

Almost surely, 2^{463162117661125} is an apocalyptic number.

It is an amenable number.

463162117661125 is a deficient number, since it is larger than the sum of its proper divisors (128962408182635).

463162117661125 is an equidigital number, since it uses as much as digits as its factorization.

463162117661125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90373096185 (or 90373096175 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 463162117661125 in words is "four hundred sixty-three trillion, one hundred sixty-two billion, one hundred seventeen million, six hundred sixty-one thousand, one hundred twenty-five".