97456006557 has 270 divisors, whose sum is σ = 192867353406. Its totient is φ = 47128858560.

The previous prime is 97456006553. The next prime is 97456006589. The reversal of 97456006557 is 75560065479.

97456006557 is a `hidden beast` number, since 9 + 74 + 560 + 0 + 6 + 5 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67469543001 + 29986463556 = 259749^2 + 173166^2 .

It is not a de Polignac number, because 97456006557 - 2² = 97456006553 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97456006553) 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 269 ways as a sum of consecutive naturals, for example, 3143742132 + ... + 3143742162.

Almost surely, 2^97456006557 is an apocalyptic number.

It is an amenable number.

97456006557 is a deficient number, since it is larger than the sum of its proper divisors (95411346849).

97456006557 is a wasteful number, since it uses less digits than its factorization.

97456006557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 97456006557 in words is "ninety-seven billion, four hundred fifty-six million, six thousand, five hundred fifty-seven".