1314266688 has 224 divisors, whose sum is σ = 4447641600. Its totient is φ = 372791808.

The previous prime is 1314266633. The next prime is 1314266711. The reversal of 1314266688 is 8866624131.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2164881 + ... + 2165487.

Almost surely, 2^1314266688 is an apocalyptic number.

1314266688 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 1314266688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223820800).

1314266688 is an abundant number, since it is smaller than the sum of its proper divisors (3133374912).

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

1314266688 is a wasteful number, since it uses less digits than its factorization.

1314266688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 798 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1314266688 is about 36252.8162768081. The cubic root of 1314266688 is about 1095.3708183013.

The spelling of 1314266688 in words is "one billion, three hundred fourteen million, two hundred sixty-six thousand, six hundred eighty-eight".