1610635115664 has 135 divisors (see below), whose sum is σ = 4681865758297. Its totient is φ = 536741308224.

The previous prime is 1610635115647. The next prime is 1610635115723. The reversal of 1610635115664 is 4665115360161.

The square root of 1610635115664 is 1269108.

It is a perfect power (a square), and thus also a powerful number.

1610635115664 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 635 + 1 + 1 + 5 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1304392410000 + 306242705664 = 1142100^2 + 553392^2 .

It is a Duffinian number.

It is an unprimeable number.

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 in 26 ways as a sum of consecutive naturals, for example, 411189034 + ... + 411192950.

Almost surely, 2^{1610635115664} is an apocalyptic number.

1610635115664 is the 1269108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610635115664

1610635115664 is an abundant number, since it is smaller than the sum of its proper divisors (3071230642633).

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

1610635115664 is an frugal number, since it uses more digits than its factorization.

1610635115664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1610635115664 in words is "one trillion, six hundred ten billion, six hundred thirty-five million, one hundred fifteen thousand, six hundred sixty-four".