821900271345 has 32 divisors (see below), whose sum is σ = 1392750588672. Its totient is φ = 412456568832.

The previous prime is 821900271331. The next prime is 821900271373. The reversal of 821900271345 is 543172009128.

It is not a de Polignac number, because 821900271345 - 2⁸ = 821900271089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 821900271297 and 821900271306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596749 + ... + 1414181.

It is an arithmetic number, because the mean of its divisors is an integer number (43523455896).

Almost surely, 2^821900271345 is an apocalyptic number.

821900271345 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

821900271345 is a deficient number, since it is larger than the sum of its proper divisors (570850317327).

821900271345 is a wasteful number, since it uses less digits than its factorization.

821900271345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821401.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 821900271345 in words is "eight hundred twenty-one billion, nine hundred million, two hundred seventy-one thousand, three hundred forty-five".