97648969594176 has 2240 divisors, whose sum is σ = 398938138368000. Its totient is φ = 22796017090560.

The previous prime is 97648969594093. The next prime is 97648969594199. The reversal of 97648969594176 is 67149596984679.

97648969594176 is a `hidden beast` number, since 9 + 7 + 6 + 4 + 8 + 9 + 6 + 9 + 594 + 1 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 111344320650 + ... + 111344321526.

It is an arithmetic number, because the mean of its divisors is an integer number (178097383200).

Almost surely, 2^{97648969594176} is an apocalyptic number.

97648969594176 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97648969594176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199469069184000).

97648969594176 is an abundant number, since it is smaller than the sum of its proper divisors (301289168773824).

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

97648969594176 is a wasteful number, since it uses less digits than its factorization.

97648969594176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1455 counting only the distinct ones).

The product of its digits is 44442639360, while the sum is 90.

The spelling of 97648969594176 in words is "ninety-seven trillion, six hundred forty-eight billion, nine hundred sixty-nine million, five hundred ninety-four thousand, one hundred seventy-six".