1093225734144 has 168 divisors, whose sum is σ = 3175695792360. Its totient is φ = 362368401408.

The previous prime is 1093225734143. The next prime is 1093225734163. The reversal of 1093225734144 is 4414375223901.

1093225734144 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 225 + 7 + 3 + 414 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1093225734144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093225734143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13155894 + ... + 13238730.

It is an arithmetic number, because the mean of its divisors is an integer number (18902951145).

Almost surely, 2^{1093225734144} 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 1093225734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587847896180).

1093225734144 is an abundant number, since it is smaller than the sum of its proper divisors (2082470058216).

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

1093225734144 is an equidigital number, since it uses as much as digits as its factorization.

1093225734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83048 (or 83021 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1093225734144 in words is "one trillion, ninety-three billion, two hundred twenty-five million, seven hundred thirty-four thousand, one hundred forty-four".