20820146311845 has 12 divisors (see below), whose sum is σ = 36088253607276. Its totient is φ = 11104078032960.

The previous prime is 20820146311829. The next prime is 20820146311879. The reversal of 20820146311845 is 54811364102802.

20820146311845 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 0 + 1 + 4 + 631 + 1 + 8 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3739837705956 + 17080308605889 = 1933866^2 + 4132833^2 .

It is not a de Polignac number, because 20820146311845 - 2⁴ = 20820146311829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 462669918041 = 20820146311845 / (2 + 0 + 8 + 2 + 0 + 1 + 4 + 6 + 3 + 1 + 1 + 8 + 4 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20820146311845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231334958976 + ... + 231334959065.

It is an arithmetic number, because the mean of its divisors is an integer number (3007354467273).

Almost surely, 2^{20820146311845} is an apocalyptic number.

It is an amenable number.

20820146311845 is a deficient number, since it is larger than the sum of its proper divisors (15268107295431).

20820146311845 is a wasteful number, since it uses less digits than its factorization.

20820146311845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462669918052 (or 462669918049 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20820146311845 in words is "twenty trillion, eight hundred twenty billion, one hundred forty-six million, three hundred eleven thousand, eight hundred forty-five".