1984266649600 has 405 divisors, whose sum is σ = 5157312126393. Its totient is φ = 757284864000.

The previous prime is 1984266649567. The next prime is 1984266649613. The reversal of 1984266649600 is 69466624891.

The square root of 1984266649600 is 1408640.

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., 714335993856 + 1269930655744 = 845184^2 + 1126912^2 .

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, 27947417565 + ... + 27947417635.

Almost surely, 2^{1984266649600} is an apocalyptic number.

1984266649600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1984266649600 is the 1408640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984266649600

1984266649600 is an abundant number, since it is smaller than the sum of its proper divisors (3173045476793).

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

1984266649600 is an frugal number, since it uses more digits than its factorization.

1984266649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 1984266649600 in words is "one trillion, nine hundred eighty-four billion, two hundred sixty-six million, six hundred forty-nine thousand, six hundred".