163042314145461 has 12 divisors (see below), whose sum is σ = 238731668506188. Its totient is φ = 107205905191104.

The previous prime is 163042314145427. The next prime is 163042314145481. The reversal of 163042314145461 is 164541413240361.

163042314145461 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 4 + 2 + 3 + 141 + 45 + 461 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120303473270436 + 42738840875025 = 10968294^2 + 6537495^2 .

It is not a de Polignac number, because 163042314145461 - 2¹⁴ = 163042314129077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163042314145411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124080908130 + ... + 124080909443.

It is an arithmetic number, because the mean of its divisors is an integer number (19894305708849).

Almost surely, 2^{163042314145461} is an apocalyptic number.

It is an amenable number.

163042314145461 is a deficient number, since it is larger than the sum of its proper divisors (75689354360727).

163042314145461 is a wasteful number, since it uses less digits than its factorization.

163042314145461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248161817652 (or 248161817649 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 163042314145461 in words is "one hundred sixty-three trillion, forty-two billion, three hundred fourteen million, one hundred forty-five thousand, four hundred sixty-one".