1610635360144 has 10 divisors (see below), whose sum is σ = 3120606010310. Its totient is φ = 805317680064.

The previous prime is 1610635360141. The next prime is 1610635360157. The reversal of 1610635360144 is 4410635360161.

It can be written as a sum of positive squares in only one way, i.e., 1012196966400 + 598438393744 = 1006080^2 + 773588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1610635360097 and 1610635360106.

It is not an unprimeable number, because it can be changed into a prime (1610635360141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50332354989 + ... + 50332355020.

It is an arithmetic number, because the mean of its divisors is an integer number (312060601031).

Almost surely, 2^{1610635360144} is an apocalyptic number.

It is an amenable number.

1610635360144 is a deficient number, since it is larger than the sum of its proper divisors (1509970650166).

1610635360144 is a wasteful number, since it uses less digits than its factorization.

1610635360144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100664710017 (or 100664710011 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 1610635360144 in words is "one trillion, six hundred ten billion, six hundred thirty-five million, three hundred sixty thousand, one hundred forty-four".