20117700144135 has 48 divisors (see below), whose sum is σ = 38041333188768. Its totient is φ = 9753884870400.

The previous prime is 20117700144133. The next prime is 20117700144137. The reversal of 20117700144135 is 53144100771102.

20117700144135 is a `hidden beast` number, since 2 + 0 + 117 + 70 + 0 + 1 + 441 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (20117700144133) and next prime (20117700144137).

It is not a de Polignac number, because 20117700144135 - 2¹ = 20117700144133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20117700144135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117700144133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35723445 + ... + 36282225.

It is an arithmetic number, because the mean of its divisors is an integer number (792527774766).

Almost surely, 2^{20117700144135} is an apocalyptic number.

20117700144135 is a deficient number, since it is larger than the sum of its proper divisors (17923633044633).

20117700144135 is a wasteful number, since it uses less digits than its factorization.

20117700144135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631536 (or 631533 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 20117700144135 in words is "twenty trillion, one hundred seventeen billion, seven hundred million, one hundred forty-four thousand, one hundred thirty-five".