97966496016 has 45 divisors (see below), whose sum is σ = 274180636119. Its totient is φ = 32654246688.

The previous prime is 97966495993. The next prime is 97966496027. The reversal of 97966496016 is 61069466979.

The square root of 97966496016 is 312996.

It is a perfect power (a square), and thus also a powerful number.

97966496016 is a `hidden beast` number, since 9 + 79 + 66 + 496 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3742911 + ... + 3768993.

Almost surely, 2^97966496016 is an apocalyptic number.

97966496016 is the 312996-th square number.

It is an amenable number.

97966496016 is an abundant number, since it is smaller than the sum of its proper divisors (176214140103).

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

97966496016 is an frugal number, since it uses more digits than its factorization.

97966496016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52180 (or 26088 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 97966496016 in words is "ninety-seven billion, nine hundred sixty-six million, four hundred ninety-six thousand, sixteen".