820414961283 has 16 divisors (see below), whose sum is σ = 1095613574400. Its totient is φ = 546080489760.

The previous prime is 820414961279. The next prime is 820414961323. The reversal of 820414961283 is 382169414028.

It is not a de Polignac number, because 820414961283 - 2² = 820414961279 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820414961213) 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, 4956778 + ... + 5119616.

It is an arithmetic number, because the mean of its divisors is an integer number (68475848400).

Almost surely, 2^820414961283 is an apocalyptic number.

820414961283 is a deficient number, since it is larger than the sum of its proper divisors (275198613117).

820414961283 is a wasteful number, since it uses less digits than its factorization.

820414961283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165482.

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 820414961283 in words is "eight hundred twenty billion, four hundred fourteen million, nine hundred sixty-one thousand, two hundred eighty-three".