820146653613 has 48 divisors (see below), whose sum is σ = 1386493680000. Its totient is φ = 457387886592.

The previous prime is 820146653603. The next prime is 820146653633. The reversal of 820146653613 is 316356641028.

820146653613 is a `hidden beast` number, since 8 + 20 + 1 + 4 + 6 + 6 + 5 + 3 + 613 = 666.

It is not a de Polignac number, because 820146653613 - 2²⁵ = 820113099181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820146653603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3262345 + ... + 3504737.

It is an arithmetic number, because the mean of its divisors is an integer number (28885285000).

Almost surely, 2^820146653613 is an apocalyptic number.

It is an amenable number.

820146653613 is a deficient number, since it is larger than the sum of its proper divisors (566347026387).

820146653613 is a wasteful number, since it uses less digits than its factorization.

820146653613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243698 (or 243695 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 820146653613 in words is "eight hundred twenty billion, one hundred forty-six million, six hundred fifty-three thousand, six hundred thirteen".