1283911211856 has 320 divisors, whose sum is σ = 4107537100800. Its totient is φ = 336516415488.

The previous prime is 1283911211831. The next prime is 1283911211939. The reversal of 1283911211856 is 6581121193821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 911220880 + ... + 911222288.

It is an arithmetic number, because the mean of its divisors is an integer number (12836053440).

Almost surely, 2^{1283911211856} is an apocalyptic number.

1283911211856 is a gapful number since it is divisible by the number (16) 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 1283911211856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053768550400).

1283911211856 is an abundant number, since it is smaller than the sum of its proper divisors (2823625888944).

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

1283911211856 is a wasteful number, since it uses less digits than its factorization.

1283911211856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2580 counting only the distinct ones).

The product of its digits is 207360, while the sum is 48.

The spelling of 1283911211856 in words is "one trillion, two hundred eighty-three billion, nine hundred eleven million, two hundred eleven thousand, eight hundred fifty-six".