97430876421264 has 135 divisors (see below), whose sum is σ = 276824141982297. Its totient is φ = 31989622211712.

The previous prime is 97430876421251. The next prime is 97430876421271. The reversal of 97430876421264 is 46212467803479.

The square root of 97430876421264 is 9870708.

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

97430876421264 is a `hidden beast` number, since 9 + 7 + 4 + 308 + 7 + 64 + 2 + 1 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8215446387600 + 89215430033664 = 2866260^2 + 9445392^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7936043094 + ... + 7936055370.

Almost surely, 2^{97430876421264} is an apocalyptic number.

97430876421264 is the 9870708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97430876421264

97430876421264 is an abundant number, since it is smaller than the sum of its proper divisors (179393265561033).

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

97430876421264 is an frugal number, since it uses more digits than its factorization.

97430876421264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24702 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 97430876421264 in words is "ninety-seven trillion, four hundred thirty billion, eight hundred seventy-six million, four hundred twenty-one thousand, two hundred sixty-four".