1640161145106 has 84 divisors (see below), whose sum is σ = 4054494628926. Its totient is φ = 497018475360.

The previous prime is 1640161145071. The next prime is 1640161145107. The reversal of 1640161145106 is 6015411610461.

1640161145106 is a `hidden beast` number, since 1 + 6 + 40 + 161 + 1 + 451 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1634779602225 + 5381542881 = 1278585^2 + 73359^2 .

It is not an unprimeable number, because it can be changed into a prime (1640161145107) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4472091 + ... + 4824926.

Almost surely, 2^{1640161145106} is an apocalyptic number.

1640161145106 is an abundant number, since it is smaller than the sum of its proper divisors (2414333483820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1640161145106 is an equidigital number, since it uses as much as digits as its factorization.

1640161145106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297059 (or 9297033 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 1640161145106 its reverse (6015411610461), we get a palindrome (7655572755567).

The spelling of 1640161145106 in words is "one trillion, six hundred forty billion, one hundred sixty-one million, one hundred forty-five thousand, one hundred six".