481165641 has 24 divisors (see below), whose sum is σ = 772514496. Its totient is φ = 286110240.

The previous prime is 481165631. The next prime is 481165669. The reversal of 481165641 is 146561184.

481165641 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 6 + 5 + 641 = 666.

It is not a de Polignac number, because 481165641 - 2¹⁷ = 481034569 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 481165596 and 481165605.

It is not an unprimeable number, because it can be changed into a prime (481165631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40605 + ... + 51098.

It is an arithmetic number, because the mean of its divisors is an integer number (32188104).

Almost surely, 2^481165641 is an apocalyptic number.

It is an amenable number.

481165641 is a deficient number, since it is larger than the sum of its proper divisors (291348855).

481165641 is a wasteful number, since it uses less digits than its factorization.

481165641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91773 (or 91770 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 481165641 is about 21935.4881641599. The cubic root of 481165641 is about 783.6068117498.

The spelling of 481165641 in words is "four hundred eighty-one million, one hundred sixty-five thousand, six hundred forty-one".