820492705745 has 8 divisors (see below), whose sum is σ = 1007488718016. Its totient is φ = 641129183856.

The previous prime is 820492705741. The next prime is 820492705751. The reversal of 820492705745 is 547507294028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820492705745 - 2² = 820492705741 is a prime.

It is a super-4 number, since 4×820492705745⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820492705741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1908122357 + ... + 1908122786.

It is an arithmetic number, because the mean of its divisors is an integer number (125936089752).

Almost surely, 2^820492705745 is an apocalyptic number.

It is an amenable number.

820492705745 is a deficient number, since it is larger than the sum of its proper divisors (186996012271).

820492705745 is a wasteful number, since it uses less digits than its factorization.

820492705745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816245191.

The product of its (nonzero) digits is 5644800, while the sum is 53.

The spelling of 820492705745 in words is "eight hundred twenty billion, four hundred ninety-two million, seven hundred five thousand, seven hundred forty-five".