97112121161664 has 224 divisors, whose sum is σ = 311861367046656. Its totient is φ = 26035286999040.

The previous prime is 97112121161663. The next prime is 97112121161689. The reversal of 97112121161664 is 46616112121179.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97112121161663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142212 + ... + 13983164.

It is an arithmetic number, because the mean of its divisors is an integer number (1392238245744).

Almost surely, 2^{97112121161664} 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 97112121161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155930683523328).

97112121161664 is an abundant number, since it is smaller than the sum of its proper divisors (214749245884992).

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

97112121161664 is a wasteful number, since it uses less digits than its factorization.

97112121161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12841323 (or 12841313 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The spelling of 97112121161664 in words is "ninety-seven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred sixty-one thousand, six hundred sixty-four".