97716440448 has 640 divisors, whose sum is σ = 327585313440. Its totient is φ = 28904325120.

The previous prime is 97716440443. The next prime is 97716440461. The reversal of 97716440448 is 84404461779.

97716440448 is a `hidden beast` number, since 9 + 77 + 164 + 404 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97716440394 and 97716440403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97716440443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1007385936 + ... + 1007386032.

Almost surely, 2^97716440448 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 97716440448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163792656720).

97716440448 is an abundant number, since it is smaller than the sum of its proper divisors (229868872992).

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

97716440448 is an equidigital number, since it uses as much as digits as its factorization.

97716440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 97716440448 in words is "ninety-seven billion, seven hundred sixteen million, four hundred forty thousand, four hundred forty-eight".