97257946401 has 288 divisors, whose sum is σ = 192132864000. Its totient is φ = 48409099200.

The previous prime is 97257946399. The next prime is 97257946403. The reversal of 97257946401 is 10464975279.

97257946401 is a `hidden beast` number, since 9 + 7 + 2 + 579 + 4 + 64 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (97257946399) and next prime (97257946403).

It is not a de Polignac number, because 97257946401 - 2¹ = 97257946399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97257946403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 488733300 + ... + 488733498.

It is an arithmetic number, because the mean of its divisors is an integer number (667128000).

Almost surely, 2^97257946401 is an apocalyptic number.

It is an amenable number.

97257946401 is a deficient number, since it is larger than the sum of its proper divisors (94874917599).

97257946401 is a wasteful number, since it uses less digits than its factorization.

97257946401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 97257946401 in words is "ninety-seven billion, two hundred fifty-seven million, nine hundred forty-six thousand, four hundred one".