97991002112 has 48 divisors (see below), whose sum is σ = 197017411500. Its totient is φ = 48724623360.

The previous prime is 97991002111. The next prime is 97991002147. The reversal of 97991002112 is 21120019979.

It can be written as a sum of positive squares in 2 ways, for example, as 55877395456 + 42113606656 = 236384^2 + 205216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 97991002112.

It is not an unprimeable number, because it can be changed into a prime (97991002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238514 + ... + 502862.

Almost surely, 2^97991002112 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 97991002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98508705750).

97991002112 is an abundant number, since it is smaller than the sum of its proper divisors (99026409388).

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

97991002112 is a wasteful number, since it uses less digits than its factorization.

97991002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264552 (or 264532 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 41.

The spelling of 97991002112 in words is "ninety-seven billion, nine hundred ninety-one million, two thousand, one hundred twelve".