17813842028136 has 320 divisors, whose sum is σ = 62216035706880. Its totient is φ = 4626304917120.

The previous prime is 17813842028131. The next prime is 17813842028149. The reversal of 17813842028136 is 63182024831871.

17813842028136 is a `hidden beast` number, since 1 + 7 + 8 + 138 + 420 + 2 + 81 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (17813842028131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 412269045 + ... + 412312251.

It is an arithmetic number, because the mean of its divisors is an integer number (194425111584).

Almost surely, 2^{17813842028136} 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 17813842028136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31108017853440).

17813842028136 is an abundant number, since it is smaller than the sum of its proper divisors (44402193678744).

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

17813842028136 is a wasteful number, since it uses less digits than its factorization.

17813842028136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51506 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 17813842028136 in words is "seventeen trillion, eight hundred thirteen billion, eight hundred forty-two million, twenty-eight thousand, one hundred thirty-six".