1016093296224 has 144 divisors (see below), whose sum is σ = 2984167315584. Its totient is φ = 327613593600.

The previous prime is 1016093296199. The next prime is 1016093296289. The reversal of 1016093296224 is 4226923906101.

1016093296224 is a `hidden beast` number, since 1 + 0 + 1 + 609 + 32 + 9 + 6 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1016093296224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19195554 + ... + 19248414.

It is an arithmetic number, because the mean of its divisors is an integer number (20723384136).

Almost surely, 2^{1016093296224} 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 1016093296224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492083657792).

1016093296224 is an abundant number, since it is smaller than the sum of its proper divisors (1968074019360).

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

1016093296224 is a wasteful number, since it uses less digits than its factorization.

1016093296224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55061 (or 55050 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1016093296224 in words is "one trillion, sixteen billion, ninety-three million, two hundred ninety-six thousand, two hundred twenty-four".