97141689017856 has 1080 divisors, whose sum is σ = 346750548229800. Its totient is φ = 26099063488512.

The previous prime is 97141689017839. The next prime is 97141689017911. The reversal of 97141689017856 is 65871098614179.

97141689017856 is a `hidden beast` number, since 9 + 7 + 1 + 416 + 8 + 90 + 1 + 78 + 56 = 666.

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

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 107 ways as a sum of consecutive naturals, for example, 11166990595 + ... + 11166999293.

It is an arithmetic number, because the mean of its divisors is an integer number (321065322435).

Almost surely, 2^{97141689017856} is an apocalyptic number.

97141689017856 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 97141689017856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173375274114900).

97141689017856 is an abundant number, since it is smaller than the sum of its proper divisors (249608859211944).

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

97141689017856 is a wasteful number, since it uses less digits than its factorization.

97141689017856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8867 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 97141689017856 in words is "ninety-seven trillion, one hundred forty-one billion, six hundred eighty-nine million, seventeen thousand, eight hundred fifty-six".