1084923645120 has 2016 divisors, whose sum is σ = 4780936742400. Its totient is φ = 224346931200.

The previous prime is 1084923645089. The next prime is 1084923645121. The reversal of 1084923645120 is 215463294801.

1084923645120 is a `hidden beast` number, since 1 + 0 + 8 + 492 + 36 + 4 + 5 + 120 = 666.

1084923645120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1084923645121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7805206011 + ... + 7805206149.

It is an arithmetic number, because the mean of its divisors is an integer number (2371496400).

Almost surely, 2^{1084923645120} is an apocalyptic number.

1084923645120 is a gapful number since it is divisible by the number (10) 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 1084923645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390468371200).

1084923645120 is an abundant number, since it is smaller than the sum of its proper divisors (3696013097280).

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

1084923645120 is a wasteful number, since it uses less digits than its factorization.

1084923645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1084923645120 in words is "one trillion, eighty-four billion, nine hundred twenty-three million, six hundred forty-five thousand, one hundred twenty".