1968504405156 has 81 divisors (see below), whose sum is σ = 5005545463009. Its totient is φ = 652287343008.

The previous prime is 1968504405149. The next prime is 1968504405169. The reversal of 1968504405156 is 6515044058691.

It is a happy number.

The square root of 1968504405156 is 1403034.

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

1968504405156 is a `hidden beast` number, since 1 + 9 + 6 + 85 + 0 + 4 + 40 + 515 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1928737664100 + 39766741056 = 1388790^2 + 199416^2 .

It is a super-3 number, since 3×1968504405156³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1658385595 + ... + 1658386781.

Almost surely, 2^{1968504405156} is an apocalyptic number.

1968504405156 is the 1403034-th square number.

It is an amenable number.

1968504405156 is an abundant number, since it is smaller than the sum of its proper divisors (3037041057853).

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

1968504405156 is an equidigital number, since it uses as much as digits as its factorization.

1968504405156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1968504405156 in words is "one trillion, nine hundred sixty-eight billion, five hundred four million, four hundred five thousand, one hundred fifty-six".