820618142279 has 16 divisors (see below), whose sum is σ = 932413870080. Its totient is φ = 715960464480.

The previous prime is 820618142273. The next prime is 820618142299. The reversal of 820618142279 is 972241816028.

It is a cyclic number.

It is not a de Polignac number, because 820618142279 - 2²⁴ = 820601365063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820618142273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3747767 + ... + 3960680.

It is an arithmetic number, because the mean of its divisors is an integer number (58275866880).

Almost surely, 2^820618142279 is an apocalyptic number.

820618142279 is a deficient number, since it is larger than the sum of its proper divisors (111795727801).

820618142279 is a wasteful number, since it uses less digits than its factorization.

820618142279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708910.

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 820618142279 in words is "eight hundred twenty billion, six hundred eighteen million, one hundred forty-two thousand, two hundred seventy-nine".