20346311353536 has 168 divisors, whose sum is σ = 69118848198400. Its totient is φ = 5813231784192.

The previous prime is 20346311353531. The next prime is 20346311353541. The reversal of 20346311353536 is 63535311364302.

20346311353536 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 63 + 1 + 1 + 3 + 53 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (20346311353531) and next prime (20346311353541).

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 20346311353491 and 20346311353500.

It is not an unprimeable number, because it can be changed into a prime (20346311353531) 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 23 ways as a sum of consecutive naturals, for example, 93339436 + ... + 93557163.

Almost surely, 2^{20346311353536} is an apocalyptic number.

It is an amenable number.

20346311353536 is an abundant number, since it is smaller than the sum of its proper divisors (48772536844864).

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

20346311353536 is an equidigital number, since it uses as much as digits as its factorization.

20346311353536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186896633 (or 186896611 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 20346311353536 in words is "twenty trillion, three hundred forty-six billion, three hundred eleven million, three hundred fifty-three thousand, five hundred thirty-six".