97492268547648 has 448 divisors, whose sum is σ = 319504978464000. Its totient is φ = 28944572203008.

The previous prime is 97492268547643. The next prime is 97492268547673. The reversal of 97492268547648 is 84674586229479.

97492268547648 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 2 + 2 + 6 + 8 + 547 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (97492268547643) 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 63 ways as a sum of consecutive naturals, for example, 1028601636 + ... + 1028696412.

It is an arithmetic number, because the mean of its divisors is an integer number (713180755500).

Almost surely, 2^{97492268547648} 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 97492268547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159752489232000).

97492268547648 is an abundant number, since it is smaller than the sum of its proper divisors (222012709916352).

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

97492268547648 is a wasteful number, since it uses less digits than its factorization.

97492268547648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96419 (or 96403 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 97492268547648 in words is "ninety-seven trillion, four hundred ninety-two billion, two hundred sixty-eight million, five hundred forty-seven thousand, six hundred forty-eight".