97426385424 has 225 divisors, whose sum is σ = 295757751003. Its totient is φ = 29934707328.

The previous prime is 97426385417. The next prime is 97426385453. The reversal of 97426385424 is 42458362479.

It is a happy number.

The square root of 97426385424 is 312132.

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

97426385424 is a `hidden beast` number, since 9 + 74 + 26 + 3 + 8 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60746475024 + 36679910400 = 246468^2 + 191520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2633145534 + ... + 2633145570.

Almost surely, 2^97426385424 is an apocalyptic number.

97426385424 is the 312132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97426385424

97426385424 is an abundant number, since it is smaller than the sum of its proper divisors (198331365579).

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

97426385424 is an frugal number, since it uses more digits than its factorization.

97426385424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 61 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 97426385424 in words is "ninety-seven billion, four hundred twenty-six million, three hundred eighty-five thousand, four hundred twenty-four".