1283047134688 has 288 divisors, whose sum is σ = 3059181748224. Its totient is φ = 526901760000.

The previous prime is 1283047134653. The next prime is 1283047134689. The reversal of 1283047134688 is 8864317403821.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283047134689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259146613 + ... + 259151563.

It is an arithmetic number, because the mean of its divisors is an integer number (10622158848).

Almost surely, 2^{1283047134688} 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 1283047134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529590874112).

1283047134688 is an abundant number, since it is smaller than the sum of its proper divisors (1776134613536).

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

1283047134688 is a wasteful number, since it uses less digits than its factorization.

1283047134688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 1283047134688 in words is "one trillion, two hundred eighty-three billion, forty-seven million, one hundred thirty-four thousand, six hundred eighty-eight".