1110055134144 has 224 divisors, whose sum is σ = 3484187917056. Its totient is φ = 308036321280.

The previous prime is 1110055134131. The next prime is 1110055134157. The reversal of 1110055134144 is 4414315500111.

It is an interprime number because it is at equal distance from previous prime (1110055134131) and next prime (1110055134157).

It is a super-2 number, since 2×1110055134144² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910647 + ... + 1746249.

It is an arithmetic number, because the mean of its divisors is an integer number (15554410344).

Almost surely, 2^{1110055134144} 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 1110055134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742093958528).

1110055134144 is an abundant number, since it is smaller than the sum of its proper divisors (2374132782912).

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

1110055134144 is a wasteful number, since it uses less digits than its factorization.

1110055134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835683 (or 835673 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 1110055134144 in words is "one trillion, one hundred ten billion, fifty-five million, one hundred thirty-four thousand, one hundred forty-four".