481663167585041 has 8 divisors (see below), whose sum is σ = 518776458679080. Its totient is φ = 444558773377152.

The previous prime is 481663167585011. The next prime is 481663167585043. The reversal of 481663167585041 is 140585761366184.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8706801631441 + 472956365953600 = 2950729^2 + 21747560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 481663167585041 - 2⁴⁶ = 411294423407377 is a prime.

It is a super-2 number, since 2×481663167585041² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (481663167585043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2224109090 + ... + 2224325643.

It is an arithmetic number, because the mean of its divisors is an integer number (64847057334885).

Almost surely, 2^{481663167585041} is an apocalyptic number.

It is an amenable number.

481663167585041 is a deficient number, since it is larger than the sum of its proper divisors (37113291094039).

481663167585041 is a wasteful number, since it uses less digits than its factorization.

481663167585041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448443075.

The product of its (nonzero) digits is 116121600, while the sum is 65.

The spelling of 481663167585041 in words is "four hundred eighty-one trillion, six hundred sixty-three billion, one hundred sixty-seven million, five hundred eighty-five thousand, forty-one".