97088910048 has 144 divisors (see below), whose sum is σ = 299096113680. Its totient is φ = 29873316096.

The previous prime is 97088910041. The next prime is 97088910049. The reversal of 97088910048 is 84001988079.

97088910048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 97088909976 and 97088910003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97088910041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 556015 + ... + 709457.

It is an arithmetic number, because the mean of its divisors is an integer number (2077056345).

Almost surely, 2^97088910048 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 97088910048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149548056840).

97088910048 is an abundant number, since it is smaller than the sum of its proper divisors (202007203632).

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

97088910048 is a wasteful number, since it uses less digits than its factorization.

97088910048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153498 (or 153461 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 97088910048 in words is "ninety-seven billion, eighty-eight million, nine hundred ten thousand, forty-eight".