97233704882048 has 512 divisors, whose sum is σ = 247955248742400. Its totient is φ = 37000601763840.

The previous prime is 97233704881987. The next prime is 97233704882063. The reversal of 97233704882048 is 84028840733279.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48350921363 + ... + 48350923373.

It is an arithmetic number, because the mean of its divisors is an integer number (484287595200).

Almost surely, 2^{97233704882048} 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 97233704882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123977624371200).

97233704882048 is an abundant number, since it is smaller than the sum of its proper divisors (150721543860352).

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

97233704882048 is a wasteful number, since it uses less digits than its factorization.

97233704882048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 65.

The spelling of 97233704882048 in words is "ninety-seven trillion, two hundred thirty-three billion, seven hundred four million, eight hundred eighty-two thousand, forty-eight".