97823821824 has 273 divisors, whose sum is σ = 294930871509. Its totient is φ = 32427786240.

The previous prime is 97823821787. The next prime is 97823821847. The reversal of 97823821824 is 42812832879.

The square root of 97823821824 is 312768.

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

97823821824 is a `hidden beast` number, since 9 + 7 + 82 + 382 + 182 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1077940224 + 96745881600 = 32832^2 + 311040^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 540463014 + ... + 540463194.

Almost surely, 2^97823821824 is an apocalyptic number.

97823821824 is the 312768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97823821824

97823821824 is an abundant number, since it is smaller than the sum of its proper divisors (197107049685).

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

97823821824 is an frugal number, since it uses more digits than its factorization.

97823821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 186 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 97823821824 in words is "ninety-seven billion, eight hundred twenty-three million, eight hundred twenty-one thousand, eight hundred twenty-four".