97896294144 has 216 divisors, whose sum is σ = 319325715072. Its totient is φ = 29665336320.

The previous prime is 97896294143. The next prime is 97896294211. The reversal of 97896294144 is 44149269879.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97896294143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612757 + ... + 755819.

It is an arithmetic number, because the mean of its divisors is an integer number (1478359792).

Almost surely, 2^97896294144 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 97896294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159662857536).

97896294144 is an abundant number, since it is smaller than the sum of its proper divisors (221429420928).

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

97896294144 is a wasteful number, since it uses less digits than its factorization.

97896294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143105 (or 143079 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 97896294144 in words is "ninety-seven billion, eight hundred ninety-six million, two hundred ninety-four thousand, one hundred forty-four".