97315608384 has 560 divisors, whose sum is σ = 326775689856. Its totient is φ = 28466380800.

The previous prime is 97315608317. The next prime is 97315608427. The reversal of 97315608384 is 48380651379.

97315608384 is a `hidden beast` number, since 9 + 73 + 1 + 560 + 8 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 97315608384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83104119 + ... + 83105289.

Almost surely, 2^97315608384 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 97315608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163387844928).

97315608384 is an abundant number, since it is smaller than the sum of its proper divisors (229460081472).

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

97315608384 is a wasteful number, since it uses less digits than its factorization.

97315608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 97315608384 in words is "ninety-seven billion, three hundred fifteen million, six hundred eight thousand, three hundred eighty-four".