97115811408 has 320 divisors, whose sum is σ = 347965347840. Its totient is φ = 25194240000.

The previous prime is 97115811391. The next prime is 97115811431. The reversal of 97115811408 is 80411851179.

97115811408 is a `hidden beast` number, since 97 + 1 + 158 + 1 + 1 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43142283 + ... + 43144533.

It is an arithmetic number, because the mean of its divisors is an integer number (1087391712).

Almost surely, 2^97115811408 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 97115811408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173982673920).

97115811408 is an abundant number, since it is smaller than the sum of its proper divisors (250849536432).

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

97115811408 is a wasteful number, since it uses less digits than its factorization.

97115811408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 97115811408 in words is "ninety-seven billion, one hundred fifteen million, eight hundred eleven thousand, four hundred eight".