97133548248 has 192 divisors, whose sum is σ = 298816801920. Its totient is φ = 29315520000.

The previous prime is 97133548241. The next prime is 97133548249. The reversal of 97133548248 is 84284533179.

It is a happy number.

97133548248 is a `hidden beast` number, since 9 + 71 + 3 + 3 + 548 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97133548194 and 97133548203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97133548241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5358336 + ... + 5376432.

It is an arithmetic number, because the mean of its divisors is an integer number (1556337510).

Almost surely, 2^97133548248 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 97133548248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149408400960).

97133548248 is an abundant number, since it is smaller than the sum of its proper divisors (201683253672).

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

97133548248 is a wasteful number, since it uses less digits than its factorization.

97133548248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380 (or 18364 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 97133548248 in words is "ninety-seven billion, one hundred thirty-three million, five hundred forty-eight thousand, two hundred forty-eight".