97144345199616 has 2112 divisors, whose sum is σ = 339852883507200. Its totient is φ = 24390968279040.

The previous prime is 97144345199611. The next prime is 97144345199641. The reversal of 97144345199616 is 61699154344179.

97144345199616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (97144345199611) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 377993560960 + ... + 377993561216.

Almost surely, 2^{97144345199616} is an apocalyptic number.

97144345199616 is a gapful number since it is divisible by the number (96) 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 97144345199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169926441753600).

97144345199616 is an abundant number, since it is smaller than the sum of its proper divisors (242708538307584).

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

97144345199616 is a wasteful number, since it uses less digits than its factorization.

97144345199616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 507 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 69.

The spelling of 97144345199616 in words is "ninety-seven trillion, one hundred forty-four billion, three hundred forty-five million, one hundred ninety-nine thousand, six hundred sixteen".