397767809230848 has 1344 divisors, whose sum is σ = 1489553304744960. Its totient is φ = 103510926950400.

The previous prime is 397767809230829. The next prime is 397767809230853. The reversal of 397767809230848 is 848032908767793.

397767809230848 is a `hidden beast` number, since 3 + 97 + 7 + 67 + 80 + 92 + 308 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (81).

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 111 ways as a sum of consecutive naturals, for example, 5507611378 + ... + 5507683598.

It is an arithmetic number, because the mean of its divisors is an integer number (1108298589840).

Almost surely, 2^{397767809230848} 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 397767809230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744776652372480).

397767809230848 is an abundant number, since it is smaller than the sum of its proper divisors (1091785495514112).

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

397767809230848 is an equidigital number, since it uses as much as digits as its factorization.

397767809230848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72316 (or 72281 counting only the distinct ones).

The product of its (nonzero) digits is 6145155072, while the sum is 81.

The spelling of 397767809230848 in words is "three hundred ninety-seven trillion, seven hundred sixty-seven billion, eight hundred nine million, two hundred thirty thousand, eight hundred forty-eight".