1966546256896 has 99 divisors (see below), whose sum is σ = 4258094436813. Its totient is φ = 907367485440.

The previous prime is 1966546256893. The next prime is 1966546256923. The reversal of 1966546256896 is 6986526456691.

The square root of 1966546256896 is 1402336.

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

It can be written as a sum of positive squares in only one way, i.e., 290909209600 + 1675637047296 = 539360^2 + 1294464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1966546256893) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 583370091 + ... + 583373461.

Almost surely, 2^{1966546256896} is an apocalyptic number.

1966546256896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1966546256896 is the 1402336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966546256896

1966546256896 is an abundant number, since it is smaller than the sum of its proper divisors (2291548179917).

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

1966546256896 is an frugal number, since it uses more digits than its factorization.

1966546256896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788 (or 3386 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 73.

The spelling of 1966546256896 in words is "one trillion, nine hundred sixty-six billion, five hundred forty-six million, two hundred fifty-six thousand, eight hundred ninety-six".