97406813448 has 216 divisors, whose sum is σ = 323887120830. Its totient is φ = 26365409280.

The previous prime is 97406813443. The next prime is 97406813453. The reversal of 97406813448 is 84431860479.

97406813448 is a `hidden beast` number, since 97 + 40 + 68 + 13 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (97406813443) and next prime (97406813453).

It can be written as a sum of positive squares in only one way, i.e., 97355232324 + 51581124 = 312018^2 + 7182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97406813394 and 97406813403.

It is not an unprimeable number, because it can be changed into a prime (97406813443) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1235368 + ... + 1311848.

Almost surely, 2^97406813448 is an apocalyptic number.

97406813448 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97406813448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161943560415).

97406813448 is an abundant number, since it is smaller than the sum of its proper divisors (226480307382).

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

97406813448 is a wasteful number, since it uses less digits than its factorization.

97406813448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76545 (or 76512 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 97406813448 in words is "ninety-seven billion, four hundred six million, eight hundred thirteen thousand, four hundred forty-eight".