1083123892224 has 612 divisors, whose sum is σ = 3560040402360. Its totient is φ = 326786088960.

The previous prime is 1083123892219. The next prime is 1083123892247. The reversal of 1083123892224 is 4222983213801.

1083123892224 is a `hidden beast` number, since 10 + 8 + 31 + 2 + 389 + 2 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1083123892224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4729798542 + ... + 4729798770.

Almost surely, 2^{1083123892224} 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 1083123892224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780020201180).

1083123892224 is an abundant number, since it is smaller than the sum of its proper divisors (2476916510136).

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

1083123892224 is an frugal number, since it uses more digits than its factorization.

1083123892224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1083123892224 in words is "one trillion, eighty-three billion, one hundred twenty-three million, eight hundred ninety-two thousand, two hundred twenty-four".