1506643411136 has 224 divisors, whose sum is σ = 3245490892800. Its totient is φ = 691407175680.

The previous prime is 1506643411123. The next prime is 1506643411139. The reversal of 1506643411136 is 6311143466051.

It is a junction number, because it is equal to n+sod(n) for n = 1506643411093 and 1506643411102.

It is not an unprimeable number, because it can be changed into a prime (1506643411139) 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 31 ways as a sum of consecutive naturals, for example, 4196778125 + ... + 4196778483.

Almost surely, 2^{1506643411136} is an apocalyptic number.

1506643411136 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 1506643411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622745446400).

1506643411136 is an abundant number, since it is smaller than the sum of its proper divisors (1738847481664).

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

1506643411136 is a wasteful number, since it uses less digits than its factorization.

1506643411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

Adding to 1506643411136 its reverse (6311143466051), we get a palindrome (7817786877187).

The spelling of 1506643411136 in words is "one trillion, five hundred six billion, six hundred forty-three million, four hundred eleven thousand, one hundred thirty-six".