1282945664 has 512 divisors, whose sum is σ = 3948134400. Its totient is φ = 398131200.

The previous prime is 1282945639. The next prime is 1282945667. The reversal of 1282945664 is 4665492821.

It is not an unprimeable number, because it can be changed into a prime (1282945667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41385329 + ... + 41385359.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2^1282945664 is an apocalyptic number.

1282945664 is a gapful number since it is divisible by the number (14) 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 1282945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974067200).

1282945664 is an abundant number, since it is smaller than the sum of its proper divisors (2665188736).

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

1282945664 is a wasteful number, since it uses less digits than its factorization.

1282945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 1282945664 is about 35818.2308887527. The cubic root of 1282945664 is about 1086.5993004437.

The spelling of 1282945664 in words is "one billion, two hundred eighty-two million, nine hundred forty-five thousand, six hundred sixty-four".