1289934264448 has 128 divisors (see below), whose sum is σ = 2788984502640. Its totient is φ = 591868723200.

The previous prime is 1289934264439. The next prime is 1289934264461. The reversal of 1289934264448 is 8444624399821.

It can be written as a sum of positive squares in 8 ways, for example, as 589713413184 + 700220851264 = 767928^2 + 836792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1289934264448.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202784788 + ... + 202791148.

Almost surely, 2^{1289934264448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1289934264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394492251320).

1289934264448 is an abundant number, since it is smaller than the sum of its proper divisors (1499050238192).

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

1289934264448 is a wasteful number, since it uses less digits than its factorization.

1289934264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8694 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 64.

The spelling of 1289934264448 in words is "one trillion, two hundred eighty-nine billion, nine hundred thirty-four million, two hundred sixty-four thousand, four hundred forty-eight".