822249968400 has 1215 divisors, whose sum is σ = 3554024168799. Its totient is φ = 175494574080.

The previous prime is 822249968369. The next prime is 822249968453. The reversal of 822249968400 is 4869942228.

The square root of 822249968400 is 906780.

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

822249968400 is a `hidden beast` number, since 8 + 2 + 224 + 9 + 9 + 6 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19233251856 + 803016716544 = 138684^2 + 896112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6474409137 + ... + 6474409263.

Almost surely, 2^822249968400 is an apocalyptic number.

822249968400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

822249968400 is the 906780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822249968400

822249968400 is an abundant number, since it is smaller than the sum of its proper divisors (2731774200399).

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

822249968400 is a wasteful number, since it uses less digits than its factorization.

822249968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 822249968400 in words is "eight hundred twenty-two billion, two hundred forty-nine million, nine hundred sixty-eight thousand, four hundred".