1084160024064 has 960 divisors, whose sum is σ = 3637150957440. Its totient is φ = 308418969600.

The previous prime is 1084160024053. The next prime is 1084160024113. The reversal of 1084160024064 is 4604200614801.

It is a happy number.

1084160024064 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 1 + 600 + 2 + 40 + 6 + 4 = 666.

1084160024064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1084160024064³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6491976109 + ... + 6491976275.

It is an arithmetic number, because the mean of its divisors is an integer number (3788698914).

Almost surely, 2^{1084160024064} 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 1084160024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818575478720).

1084160024064 is an abundant number, since it is smaller than the sum of its proper divisors (2552990933376).

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

1084160024064 is a wasteful number, since it uses less digits than its factorization.

1084160024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 1084160024064 its reverse (4604200614801), we get a palindrome (5688360638865).

The spelling of 1084160024064 in words is "one trillion, eighty-four billion, one hundred sixty million, twenty-four thousand, sixty-four".