97338329088 has 1536 divisors, whose sum is σ = 396264960000. Its totient is φ = 20808990720.

The previous prime is 97338329083. The next prime is 97338329117. The reversal of 97338329088 is 88092383379.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (97338329083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5123069943 + ... + 5123069961.

It is an arithmetic number, because the mean of its divisors is an integer number (257985000).

Almost surely, 2^97338329088 is an apocalyptic number.

97338329088 is a gapful number since it is divisible by the number (98) 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 97338329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480000).

97338329088 is an abundant number, since it is smaller than the sum of its proper divisors (298926630912).

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

97338329088 is a wasteful number, since it uses less digits than its factorization.

97338329088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

It can be divided in two parts, 97338 and 329088, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 97338329088 in words is "ninety-seven billion, three hundred thirty-eight million, three hundred twenty-nine thousand, eighty-eight".