97173648000 has 1536 divisors, whose sum is σ = 426301574400. Its totient is φ = 21745152000.

The previous prime is 97173647957. The next prime is 97173648029. The reversal of 97173648000 is 84637179.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7474895994 + ... + 7474896006.

Almost surely, 2^97173648000 is an apocalyptic number.

97173648000 is a gapful number since it is divisible by the number (90) 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 97173648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213150787200).

97173648000 is an abundant number, since it is smaller than the sum of its proper divisors (329127926400).

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

97173648000 is a wasteful number, since it uses less digits than its factorization.

97173648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 97173648000 in words is "ninety-seven billion, one hundred seventy-three million, six hundred forty-eight thousand".