2135334650112 has 108 divisors (see below), whose sum is σ = 6159559581084. Its totient is φ = 711447183360.

The previous prime is 2135334650101. The next prime is 2135334650153. The reversal of 2135334650112 is 2110564335312.

2135334650112 is a `hidden beast` number, since 2 + 1 + 3 + 533 + 4 + 6 + 5 + 0 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1527458697216 + 607875952896 = 1235904^2 + 779664^2 .

It is a super-2 number, since 2×2135334650112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4764508 + ... + 5193380.

Almost surely, 2^{2135334650112} 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 2135334650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079779790542).

2135334650112 is an abundant number, since it is smaller than the sum of its proper divisors (4024224930972).

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

2135334650112 is a wasteful number, since it uses less digits than its factorization.

2135334650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431056 (or 431039 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 2135334650112 its reverse (2110564335312), we get a palindrome (4245898985424).

The spelling of 2135334650112 in words is "two trillion, one hundred thirty-five billion, three hundred thirty-four million, six hundred fifty thousand, one hundred twelve".