97538965488864 has 144 divisors (see below), whose sum is σ = 282094569993600. Its totient is φ = 31960012624128.

The previous prime is 97538965488863. The next prime is 97538965488883. The reversal of 97538965488864 is 46888456983579.

97538965488864 is a `hidden beast` number, since 9 + 7 + 5 + 3 + 8 + 9 + 65 + 488 + 8 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97538965488863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299899197 + ... + 300224259.

It is an arithmetic number, because the mean of its divisors is an integer number (1958990069400).

Almost surely, 2^{97538965488864} 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 97538965488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141047284996800).

97538965488864 is an abundant number, since it is smaller than the sum of its proper divisors (184555604504736).

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

97538965488864 is a wasteful number, since it uses less digits than its factorization.

97538965488864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342797 (or 342786 counting only the distinct ones).

The product of its digits is 100329062400, while the sum is 90.

The spelling of 97538965488864 in words is "ninety-seven trillion, five hundred thirty-eight billion, nine hundred sixty-five million, four hundred eighty-eight thousand, eight hundred sixty-four".