821867224248 has 256 divisors, whose sum is σ = 2816425728000. Its totient is φ = 216864248832.

The previous prime is 821867224247. The next prime is 821867224259. The reversal of 821867224248 is 842422768128.

It is a happy number.

It is a super-2 number, since 2×821867224248² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 821867224194 and 821867224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821867224247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601036 + ... + 1415972.

It is an arithmetic number, because the mean of its divisors is an integer number (11001663000).

Almost surely, 2^821867224248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821867224248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408212864000).

821867224248 is an abundant number, since it is smaller than the sum of its proper divisors (1994558503752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821867224248 is a wasteful number, since it uses less digits than its factorization.

821867224248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815011 (or 815001 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 821867224248 in words is "eight hundred twenty-one billion, eight hundred sixty-seven million, two hundred twenty-four thousand, two hundred forty-eight".