97882882944 has 384 divisors, whose sum is σ = 336209201280. Its totient is φ = 24941629440.

The previous prime is 97882882919. The next prime is 97882882961. The reversal of 97882882944 is 44928828879.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×97882882944² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10965267 + ... + 10974189.

It is an arithmetic number, because the mean of its divisors is an integer number (875544795).

Almost surely, 2^97882882944 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 97882882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168104600640).

97882882944 is an abundant number, since it is smaller than the sum of its proper divisors (238326318336).

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

97882882944 is a wasteful number, since it uses less digits than its factorization.

97882882944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018 (or 8999 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 69.

The spelling of 97882882944 in words is "ninety-seven billion, eight hundred eighty-two million, eight hundred eighty-two thousand, nine hundred forty-four".