97477773963648 has 1536 divisors, whose sum is σ = 322585282252800. Its totient is φ = 25804068618240.

The previous prime is 97477773963569. The next prime is 97477773963683. The reversal of 97477773963648 is 84636937777479.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 123859941111 + ... + 123859941897.

It is an arithmetic number, because the mean of its divisors is an integer number (210016459800).

Almost surely, 2^{97477773963648} 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 97477773963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161292641126400).

97477773963648 is an abundant number, since it is smaller than the sum of its proper divisors (225107508289152).

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

97477773963648 is a wasteful number, since it uses less digits than its factorization.

97477773963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 965 counting only the distinct ones).

The product of its digits is 56458612224, while the sum is 87.

The spelling of 97477773963648 in words is "ninety-seven trillion, four hundred seventy-seven billion, seven hundred seventy-three million, nine hundred sixty-three thousand, six hundred forty-eight".