1283855768832 has 288 divisors, whose sum is σ = 4227512647680. Its totient is φ = 336823050240.

The previous prime is 1283855768773. The next prime is 1283855768837. The reversal of 1283855768832 is 2388675583821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283855768837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13300519 + ... + 13396697.

It is an arithmetic number, because the mean of its divisors is an integer number (14678863360).

Almost surely, 2^{1283855768832} is an apocalyptic number.

1283855768832 is a gapful number since it is divisible by the number (12) 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 1283855768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113756323840).

1283855768832 is an abundant number, since it is smaller than the sum of its proper divisors (2943656878848).

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

1283855768832 is a wasteful number, since it uses less digits than its factorization.

1283855768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96409 (or 96395 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 66.

The spelling of 1283855768832 in words is "one trillion, two hundred eighty-three billion, eight hundred fifty-five million, seven hundred sixty-eight thousand, eight hundred thirty-two".