97648741456 has 80 divisors (see below), whose sum is σ = 218106040320. Its totient is φ = 41485409280.

The previous prime is 97648741453. The next prime is 97648741499. The reversal of 97648741456 is 65414784679.

It is a junction number, because it is equal to n+sod(n) for n = 97648741394 and 97648741403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97648741453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24477510 + ... + 24481498.

It is an arithmetic number, because the mean of its divisors is an integer number (2726325504).

Almost surely, 2^97648741456 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 97648741456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109053020160).

97648741456 is an abundant number, since it is smaller than the sum of its proper divisors (120457298864).

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

97648741456 is a wasteful number, since it uses less digits than its factorization.

97648741456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 5846 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 61.

The spelling of 97648741456 in words is "ninety-seven billion, six hundred forty-eight million, seven hundred forty-one thousand, four hundred fifty-six".