1109753745408 has 312 divisors, whose sum is σ = 3996557438016. Its totient is φ = 288246988800.

The previous prime is 1109753745403. The next prime is 1109753745431. The reversal of 1109753745408 is 8045473579011.

1109753745408 is a `hidden beast` number, since 1 + 1 + 0 + 97 + 5 + 3 + 7 + 4 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109753745403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2643048 + ... + 3034008.

It is an arithmetic number, because the mean of its divisors is an integer number (12809478968).

Almost surely, 2^{1109753745408} is an apocalyptic number.

1109753745408 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 1109753745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998278719008).

1109753745408 is an abundant number, since it is smaller than the sum of its proper divisors (2886803692608).

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

1109753745408 is a wasteful number, since it uses less digits than its factorization.

1109753745408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391009 (or 390984 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1109753745408 in words is "one trillion, one hundred nine billion, seven hundred fifty-three million, seven hundred forty-five thousand, four hundred eight".