97314406112448 has 336 divisors, whose sum is σ = 347319850992640. Its totient is φ = 26168578854912.

The previous prime is 97314406112447. The next prime is 97314406112449. The reversal of 97314406112448 is 84421160441379.

It is a happy number.

97314406112448 is a `hidden beast` number, since 9 + 7 + 3 + 14 + 4 + 0 + 611 + 2 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (97314406112447) and next prime (97314406112449).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 97314406112394 and 97314406112403.

It is not an unprimeable number, because it can be changed into a prime (97314406112447) 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, 10423240 + ... + 17414727.

Almost surely, 2^{97314406112448} is an apocalyptic number.

It is an amenable number.

97314406112448 is an abundant number, since it is smaller than the sum of its proper divisors (250005444880192).

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

97314406112448 is a wasteful number, since it uses less digits than its factorization.

97314406112448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27838029 (or 27837996 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 97314406112448 in words is "ninety-seven trillion, three hundred fourteen billion, four hundred six million, one hundred twelve thousand, four hundred forty-eight".