1288345351748 has 192 divisors, whose sum is σ = 2954375424000. Its totient is φ = 477343134720.

The previous prime is 1288345351651. The next prime is 1288345351759. The reversal of 1288345351748 is 8471535438821.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422545328 + ... + 422548376.

It is an arithmetic number, because the mean of its divisors is an integer number (15387372000).

Almost surely, 2^{1288345351748} 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 1288345351748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477187712000).

1288345351748 is an abundant number, since it is smaller than the sum of its proper divisors (1666030072252).

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

1288345351748 is a wasteful number, since it uses less digits than its factorization.

1288345351748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3768 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 59.

The spelling of 1288345351748 in words is "one trillion, two hundred eighty-eight billion, three hundred forty-five million, three hundred fifty-one thousand, seven hundred forty-eight".