1006984496448 has 336 divisors, whose sum is σ = 3512268190080. Its totient is φ = 269269696512.

The previous prime is 1006984496407. The next prime is 1006984496477. The reversal of 1006984496448 is 8446944896001.

1006984496448 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 98 + 449 + 64 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 12228340 + ... + 12310412.

Almost surely, 2^{1006984496448} is an apocalyptic number.

1006984496448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006984496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756134095040).

1006984496448 is an abundant number, since it is smaller than the sum of its proper divisors (2505283693632).

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

1006984496448 is a wasteful number, since it uses less digits than its factorization.

1006984496448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82294 (or 82281 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 1006984496448 in words is "one trillion, six billion, nine hundred eighty-four million, four hundred ninety-six thousand, four hundred forty-eight".