822375108801 has 21 divisors (see below), whose sum is σ = 1233035331601. Its totient is φ = 548233749252.

The previous prime is 822375108791. The next prime is 822375108847. The reversal of 822375108801 is 108801573228.

The square root of 822375108801 is 906849.

It is a perfect power (a square), and thus also a powerful number.

822375108801 is a `hidden beast` number, since 8 + 22 + 37 + 510 + 8 + 80 + 1 = 666.

It is not a de Polignac number, because 822375108801 - 2¹⁷ = 822374977729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (822375108301) 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 20 ways as a sum of consecutive naturals, for example, 24468130 + ... + 24501716.

Almost surely, 2^822375108801 is an apocalyptic number.

822375108801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

822375108801 is the 906849-th square number.

822375108801 is the 453425-th centered octagonal number.

It is an amenable number.

822375108801 is a deficient number, since it is larger than the sum of its proper divisors (410660222800).

822375108801 is an frugal number, since it uses more digits than its factorization.

822375108801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67192 (or 33590 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 822375108801 in words is "eight hundred twenty-two billion, three hundred seventy-five million, one hundred eight thousand, eight hundred one".