97865320246848 has 2240 divisors, whose sum is σ = 388838110003200. Its totient is φ = 23589378109440.

The previous prime is 97865320246829. The next prime is 97865320246849. The reversal of 97865320246848 is 84864202356879.

97865320246848 is a `hidden beast` number, since 9 + 7 + 8 + 6 + 532 + 0 + 2 + 4 + 6 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (97865320246849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42792005961 + ... + 42792008247.

Almost surely, 2^{97865320246848} 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 97865320246848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194419055001600).

97865320246848 is an abundant number, since it is smaller than the sum of its proper divisors (290972789756352).

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

97865320246848 is a wasteful number, since it uses less digits than its factorization.

97865320246848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 97865320246848 in words is "ninety-seven trillion, eight hundred sixty-five billion, three hundred twenty million, two hundred forty-six thousand, eight hundred forty-eight".