1093768002048 has 320 divisors, whose sum is σ = 2994800320512. Its totient is φ = 354655272960.

The previous prime is 1093768002023. The next prime is 1093768002049. The reversal of 1093768002048 is 8402008673901.

1093768002048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1093768001988 and 1093768002006.

It is not an unprimeable number, because it can be changed into a prime (1093768002049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4036044153 + ... + 4036044423.

Almost surely, 2^{1093768002048} 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 1093768002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497400160256).

1093768002048 is an abundant number, since it is smaller than the sum of its proper divisors (1901032318464).

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

1093768002048 is a wasteful number, since it uses less digits than its factorization.

1093768002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1093768002048 in words is "one trillion, ninety-three billion, seven hundred sixty-eight million, two thousand, forty-eight".