82263448806400 has 99 divisors (see below), whose sum is σ = 203917334395249. Its totient is φ = 32904799047680.

The previous prime is 82263448806389. The next prime is 82263448806449. The reversal of 82263448806400 is 460884436228.

It is a happy number.

The square root of 82263448806400 is 9069920.

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

It can be written as a sum of positive squares in only one way, i.e., 29614841570304 + 52648607236096 = 5441952^2 + 7255936^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1451158857 + ... + 1451215543.

Almost surely, 2^{82263448806400} is an apocalyptic number.

82263448806400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

82263448806400 is the 9069920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82263448806400

82263448806400 is an abundant number, since it is smaller than the sum of its proper divisors (121653885588849).

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

82263448806400 is an frugal number, since it uses more digits than its factorization.

82263448806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113404 (or 56694 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 55.

The spelling of 82263448806400 in words is "eighty-two trillion, two hundred sixty-three billion, four hundred forty-eight million, eight hundred six thousand, four hundred".