1281434688 has 112 divisors (see below), whose sum is σ = 3831336000. Its totient is φ = 419871744.

The previous prime is 1281434681. The next prime is 1281434711. The reversal of 1281434688 is 8864341821.

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 (1281434681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95668 + ... + 108236.

Almost surely, 2^1281434688 is an apocalyptic number.

1281434688 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 1281434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915668000).

1281434688 is an abundant number, since it is smaller than the sum of its proper divisors (2549901312).

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

1281434688 is a wasteful number, since it uses less digits than its factorization.

1281434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12649 (or 12633 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1281434688 is about 35797.1323991182. The cubic root of 1281434688 is about 1086.1725558354.

The spelling of 1281434688 in words is "one billion, two hundred eighty-one million, four hundred thirty-four thousand, six hundred eighty-eight".