1084340767136 has 192 divisors, whose sum is σ = 2500309969920. Its totient is φ = 457429954560.

The previous prime is 1084340767123. The next prime is 1084340767163. The reversal of 1084340767136 is 6317670434801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307438205 + ... + 307441731.

It is an arithmetic number, because the mean of its divisors is an integer number (13022447760).

Almost surely, 2^{1084340767136} is an apocalyptic number.

1084340767136 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 1084340767136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250154984960).

1084340767136 is an abundant number, since it is smaller than the sum of its proper divisors (1415969202784).

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

1084340767136 is a wasteful number, since it uses less digits than its factorization.

1084340767136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 1084340767136 in words is "one trillion, eighty-four billion, three hundred forty million, seven hundred sixty-seven thousand, one hundred thirty-six".