97618167293248 has 448 divisors, whose sum is σ = 238322193408000. Its totient is φ = 38746833076224.

The previous prime is 97618167293237. The next prime is 97618167293431. The reversal of 97618167293248 is 84239276181679.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×97618167293248³ (a number of 43 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 43022549458 + ... + 43022551726.

Almost surely, 2^{97618167293248} 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 97618167293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119161096704000).

97618167293248 is an abundant number, since it is smaller than the sum of its proper divisors (140704026114752).

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

97618167293248 is a wasteful number, since it uses less digits than its factorization.

97618167293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2980 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 73.

The spelling of 97618167293248 in words is "ninety-seven trillion, six hundred eighteen billion, one hundred sixty-seven million, two hundred ninety-three thousand, two hundred forty-eight".