1144055005146 has 160 divisors (see below), whose sum is σ = 2689477012992. Its totient is φ = 363033601920.

The previous prime is 1144055005087. The next prime is 1144055005151. The reversal of 1144055005146 is 6415005504411.

1144055005146 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 5 + 500 + 5 + 146 = 666.

It is a super-2 number, since 2×1144055005146² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1144055005146.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 295085760 + ... + 295089636.

Almost surely, 2^{1144055005146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144055005146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344738506496).

1144055005146 is an abundant number, since it is smaller than the sum of its proper divisors (1545422007846).

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

1144055005146 is a wasteful number, since it uses less digits than its factorization.

1144055005146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1144055005146 in words is "one trillion, one hundred forty-four billion, fifty-five million, five thousand, one hundred forty-six".