97172914176 has 816 divisors, whose sum is σ = 343510876800. Its totient is φ = 26159874048.

The previous prime is 97172914151. The next prime is 97172914177. The reversal of 97172914176 is 67141927179.

It is a happy number.

97172914176 is a `hidden beast` number, since 9 + 71 + 72 + 91 + 417 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97172914177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3350790130 + ... + 3350790158.

Almost surely, 2^97172914176 is an apocalyptic number.

97172914176 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 97172914176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171755438400).

97172914176 is an abundant number, since it is smaller than the sum of its proper divisors (246337962624).

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

97172914176 is a wasteful number, since it uses less digits than its factorization.

97172914176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 54.

The spelling of 97172914176 in words is "ninety-seven billion, one hundred seventy-two million, nine hundred fourteen thousand, one hundred seventy-six".