97717119845328 has 320 divisors, whose sum is σ = 283825971475200. Its totient is φ = 32185987891200.

The previous prime is 97717119845327. The next prime is 97717119845351. The reversal of 97717119845328 is 82354891171779.

97717119845328 is a `hidden beast` number, since 9 + 7 + 7 + 1 + 7 + 1 + 1 + 9 + 84 + 532 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97717119845327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46245678000 + ... + 46245680112.

It is an arithmetic number, because the mean of its divisors is an integer number (886956160860).

Almost surely, 2^{97717119845328} 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 97717119845328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141912985737600).

97717119845328 is an abundant number, since it is smaller than the sum of its proper divisors (186108851629872).

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

97717119845328 is a wasteful number, since it uses less digits than its factorization.

97717119845328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4295 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 72.

The spelling of 97717119845328 in words is "ninety-seven trillion, seven hundred seventeen billion, one hundred nineteen million, eight hundred forty-five thousand, three hundred twenty-eight".