1141225613584 has 40 divisors (see below), whose sum is σ = 2527071560640. Its totient is φ = 489082758528.

The previous prime is 1141225613509. The next prime is 1141225613587. The reversal of 1141225613584 is 4853165221411.

It is a happy number.

It is a super-2 number, since 2×1141225613584² (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 1141225613584.

It is not an unprimeable number, because it can be changed into a prime (1141225613587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4450827 + ... + 4700245.

It is an arithmetic number, because the mean of its divisors is an integer number (63176789016).

Almost surely, 2^{1141225613584} is an apocalyptic number.

1141225613584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1141225613584 is an abundant number, since it is smaller than the sum of its proper divisors (1385845947056).

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

1141225613584 is a wasteful number, since it uses less digits than its factorization.

1141225613584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290287 (or 290281 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The spelling of 1141225613584 in words is "one trillion, one hundred forty-one billion, two hundred twenty-five million, six hundred thirteen thousand, five hundred eighty-four".