20346461340352 has 112 divisors (see below), whose sum is σ = 47704987127808. Its totient is φ = 8425578101760.

The previous prime is 20346461340341. The next prime is 20346461340353. The reversal of 20346461340352 is 25304316464302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 20346461340299 and 20346461340308.

It is not an unprimeable number, because it can be changed into a prime (20346461340353) 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 15 ways as a sum of consecutive naturals, for example, 7853358 + ... + 10117714.

Almost surely, 2^{20346461340352} 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 20346461340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852493563904).

20346461340352 is an abundant number, since it is smaller than the sum of its proper divisors (27358525787456).

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

20346461340352 is a wasteful number, since it uses less digits than its factorization.

20346461340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265054 (or 2265044 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 43.

The spelling of 20346461340352 in words is "twenty trillion, three hundred forty-six billion, four hundred sixty-one million, three hundred forty thousand, three hundred fifty-two".