97221904764192 has 288 divisors, whose sum is σ = 299135451783168. Its totient is φ = 29774491895808.

The previous prime is 97221904764181. The next prime is 97221904764199. The reversal of 97221904764192 is 29146740912279.

97221904764192 is a `hidden beast` number, since 9 + 7 + 22 + 19 + 0 + 476 + 41 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (97221904764199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6576594433 + ... + 6576609215.

It is an arithmetic number, because the mean of its divisors is an integer number (1038664763136).

Almost surely, 2^{97221904764192} 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 97221904764192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149567725891584).

97221904764192 is an abundant number, since it is smaller than the sum of its proper divisors (201913547018976).

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

97221904764192 is a wasteful number, since it uses less digits than its factorization.

97221904764192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22912 (or 22901 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 97221904764192 in words is "ninety-seven trillion, two hundred twenty-one billion, nine hundred four million, seven hundred sixty-four thousand, one hundred ninety-two".