97314444864 has 672 divisors, whose sum is σ = 353610915840. Its totient is φ = 24908083200.

The previous prime is 97314444859. The next prime is 97314444893. The reversal of 97314444864 is 46844441379.

It is a happy number.

97314444864 is a `hidden beast` number, since 97 + 31 + 4 + 44 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 97314444864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294001179 + ... + 294001509.

It is an arithmetic number, because the mean of its divisors is an integer number (526206720).

Almost surely, 2^97314444864 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 97314444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176805457920).

97314444864 is an abundant number, since it is smaller than the sum of its proper divisors (256296470976).

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

97314444864 is a wasteful number, since it uses less digits than its factorization.

97314444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 97314444864 in words is "ninety-seven billion, three hundred fourteen million, four hundred forty-four thousand, eight hundred sixty-four".