1823242571136 has 864 divisors, whose sum is σ = 6576385285080. Its totient is φ = 483251650560.

The previous prime is 1823242571131. The next prime is 1823242571147. The reversal of 1823242571136 is 6311752423281.

1823242571136 is a `hidden beast` number, since 1 + 8 + 2 + 3 + 2 + 42 + 571 + 1 + 36 = 666.

It is a super-2 number, since 2×1823242571136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1823242571091 and 1823242571100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1823242571131) 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 107 ways as a sum of consecutive naturals, for example, 1190882691 + ... + 1190884221.

Almost surely, 2^{1823242571136} is an apocalyptic number.

1823242571136 is a gapful number since it is divisible by the number (16) 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 1823242571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288192642540).

1823242571136 is an abundant number, since it is smaller than the sum of its proper divisors (4753142713944).

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

1823242571136 is a wasteful number, since it uses less digits than its factorization.

1823242571136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1633 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 1823242571136 in words is "one trillion, eight hundred twenty-three billion, two hundred forty-two million, five hundred seventy-one thousand, one hundred thirty-six".