1106381502144 has 560 divisors, whose sum is σ = 3647787573600. Its totient is φ = 328831653888.

The previous prime is 1106381502113. The next prime is 1106381502203. The reversal of 1106381502144 is 4412051836011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1106381502144 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 3 + 8 + 1 + 502 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1106381502144 = 1292³ + 10336³ = 5814³ + 9690³.

It is a junction number, because it is equal to n+sod(n) for n = 1106381502099 and 1106381502108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58230605367 + ... + 58230605385.

Almost surely, 2^{1106381502144} 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 1106381502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823893786800).

1106381502144 is an abundant number, since it is smaller than the sum of its proper divisors (2541406071456).

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

1106381502144 is an frugal number, since it uses more digits than its factorization.

1106381502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1106381502144 in words is "one trillion, one hundred six billion, three hundred eighty-one million, five hundred two thousand, one hundred forty-four".