97300144788 has 288 divisors, whose sum is σ = 309913067520. Its totient is φ = 23168851200.

The previous prime is 97300144787. The next prime is 97300144831. The reversal of 97300144788 is 88744100379.

It is a super-3 number, since 3×97300144788³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97300144788.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97300144787) 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 95 ways as a sum of consecutive naturals, for example, 5978470 + ... + 5994722.

It is an arithmetic number, because the mean of its divisors is an integer number (1076087040).

Almost surely, 2^97300144788 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 97300144788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154956533760).

97300144788 is an abundant number, since it is smaller than the sum of its proper divisors (212612922732).

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

97300144788 is a wasteful number, since it uses less digits than its factorization.

97300144788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16339 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 97300144788 in words is "ninety-seven billion, three hundred million, one hundred forty-four thousand, seven hundred eighty-eight".