1417063456161 has 48 divisors (see below), whose sum is σ = 2170922055120. Its totient is φ = 889136640000.

The previous prime is 1417063456111. The next prime is 1417063456163. The reversal of 1417063456161 is 1616543607141.

1417063456161 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 0 + 634 + 5 + 6 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 473008315536 + 944055140625 = 687756^2 + 971625^2 .

It is not a de Polignac number, because 1417063456161 - 2⁷ = 1417063456033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1417063456163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12796771 + ... + 12907031.

It is an arithmetic number, because the mean of its divisors is an integer number (45227542815).

Almost surely, 2^{1417063456161} is an apocalyptic number.

It is an amenable number.

1417063456161 is a deficient number, since it is larger than the sum of its proper divisors (753858598959).

1417063456161 is a wasteful number, since it uses less digits than its factorization.

1417063456161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111538 (or 111535 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1417063456161 in words is "one trillion, four hundred seventeen billion, sixty-three million, four hundred fifty-six thousand, one hundred sixty-one".