97858741248 has 220 divisors, whose sum is σ = 309419517132. Its totient is φ = 30700339200.

The previous prime is 97858741243. The next prime is 97858741261. The reversal of 97858741248 is 84214785879.

97858741248 is a `hidden beast` number, since 9 + 7 + 8 + 587 + 4 + 1 + 2 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70815596544 + 27043144704 = 266112^2 + 164448^2 .

It is not an unprimeable number, because it can be changed into a prime (97858741243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1375348 + ... + 1444748.

Almost surely, 2^97858741248 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 97858741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154709758566).

97858741248 is an abundant number, since it is smaller than the sum of its proper divisors (211560775884).

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

97858741248 is a wasteful number, since it uses less digits than its factorization.

97858741248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69450 (or 69423 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 97858741248 in words is "ninety-seven billion, eight hundred fifty-eight million, seven hundred forty-one thousand, two hundred forty-eight".