97829305112448 has 768 divisors, whose sum is σ = 369109289203200. Its totient is φ = 24148643954688.

The previous prime is 97829305112447. The next prime is 97829305112479. The reversal of 97829305112448 is 84421150392879.

97829305112448 is a `hidden beast` number, since 9 + 7 + 8 + 2 + 93 + 0 + 511 + 24 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97829305112443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165024186 + ... + 165615942.

It is an arithmetic number, because the mean of its divisors is an integer number (480611053650).

Almost surely, 2^{97829305112448} 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 97829305112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184554644601600).

97829305112448 is an abundant number, since it is smaller than the sum of its proper divisors (271279984090752).

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

97829305112448 is a wasteful number, since it uses less digits than its factorization.

97829305112448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591899 (or 591884 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 97829305112448 in words is "ninety-seven trillion, eight hundred twenty-nine billion, three hundred five million, one hundred twelve thousand, four hundred forty-eight".