1283871514464 has 1152 divisors, whose sum is σ = 5142909542400. Its totient is φ = 303641395200.

The previous prime is 1283871514441. The next prime is 1283871514493. The reversal of 1283871514464 is 4644151783821.

It is a happy number.

1283871514464 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 87 + 1 + 514 + 46 + 4 = 666.

It is a super-2 number, since 2×1283871514464² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1283871514464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385661152 + ... + 385664480.

It is an arithmetic number, because the mean of its divisors is an integer number (4464331200).

Almost surely, 2^{1283871514464} is an apocalyptic number.

1283871514464 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 1283871514464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571454771200).

1283871514464 is an abundant number, since it is smaller than the sum of its proper divisors (3859038027936).

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

1283871514464 is a wasteful number, since it uses less digits than its factorization.

1283871514464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3400 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 1283871514464 in words is "one trillion, two hundred eighty-three billion, eight hundred seventy-one million, five hundred fourteen thousand, four hundred sixty-four".