1103771341728 has 1536 divisors, whose sum is σ = 4156340428800. Its totient is φ = 283787919360.

The previous prime is 1103771341727. The next prime is 1103771341741. The reversal of 1103771341728 is 8271431773011.

1103771341728 is a `hidden beast` number, since 110 + 37 + 71 + 3 + 417 + 28 = 666.

It is a super-2 number, since 2×1103771341728² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1103771341727) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5719022400 + ... + 5719022592.

It is an arithmetic number, because the mean of its divisors is an integer number (2705950800).

Almost surely, 2^{1103771341728} is an apocalyptic number.

1103771341728 is a gapful number since it is divisible by the number (18) 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 1103771341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078170214400).

1103771341728 is an abundant number, since it is smaller than the sum of its proper divisors (3052569087072).

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

1103771341728 is a wasteful number, since it uses less digits than its factorization.

1103771341728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 1103771341728 in words is "one trillion, one hundred three billion, seven hundred seventy-one million, three hundred forty-one thousand, seven hundred twenty-eight".