1283484279168 has 1280 divisors, whose sum is σ = 4949339472000. Its totient is φ = 321052999680.

The previous prime is 1283484279151. The next prime is 1283484279223. The reversal of 1283484279168 is 8619724843821.

It is a happy number.

1283484279168 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 48 + 427 + 9 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1669029888 + ... + 1669030656.

Almost surely, 2^{1283484279168} is an apocalyptic number.

1283484279168 is a gapful number since it is divisible by the number (18) 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 1283484279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474669736000).

1283484279168 is an abundant number, since it is smaller than the sum of its proper divisors (3665855192832).

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

1283484279168 is a wasteful number, since it uses less digits than its factorization.

1283484279168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 884 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 1283484279168 in words is "one trillion, two hundred eighty-three billion, four hundred eighty-four million, two hundred seventy-nine thousand, one hundred sixty-eight".