1284218496 has 384 divisors, whose sum is σ = 4330267200. Its totient is φ = 374077440.

The previous prime is 1284218473. The next prime is 1284218497. The reversal of 1284218496 is 6948124821.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1284218497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15472471 + ... + 15472553.

Almost surely, 2^1284218496 is an apocalyptic number.

1284218496 is a gapful number since it is divisible by the number (16) 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 1284218496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165133600).

1284218496 is an abundant number, since it is smaller than the sum of its proper divisors (3046048704).

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

1284218496 is a wasteful number, since it uses less digits than its factorization.

1284218496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1284218496 is about 35835.9944190195. The cubic root of 1284218496 is about 1086.9585261605.

The spelling of 1284218496 in words is "one billion, two hundred eighty-four million, two hundred eighteen thousand, four hundred ninety-six".