20426068248192 has 48 divisors (see below), whose sum is σ = 58778139102930. Its totient is φ = 6808689415680.

The previous prime is 20426068248119. The next prime is 20426068248259. The reversal of 20426068248192 is 29184286062402.

20426068248192 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 606 + 8 + 24 + 8 + 1 + 9 + 2 = 666.

20426068248192 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19209847473216 + 1216220774976 = 4382904^2 + 1102824^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20426068248192² (a number of 27 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 8865479859 + ... + 8865482162.

Almost surely, 2^{20426068248192} is an apocalyptic number.

It is an amenable number.

20426068248192 is an abundant number, since it is smaller than the sum of its proper divisors (38352070854738).

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

20426068248192 is a wasteful number, since it uses less digits than its factorization.

20426068248192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17730962041 (or 17730962026 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20426068248192 in words is "twenty trillion, four hundred twenty-six billion, sixty-eight million, two hundred forty-eight thousand, one hundred ninety-two".