97468861800 has 192 divisors, whose sum is σ = 315959777280. Its totient is φ = 24808861440.

The previous prime is 97468861783. The next prime is 97468861817. The reversal of 97468861800 is 816886479.

97468861800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (97468861783) and next prime (97468861817).

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, 6713349 + ... + 6727851.

It is an arithmetic number, because the mean of its divisors is an integer number (1645623840).

Almost surely, 2^97468861800 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 97468861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157979888640).

97468861800 is an abundant number, since it is smaller than the sum of its proper divisors (218490915480).

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

97468861800 is a wasteful number, since it uses less digits than its factorization.

97468861800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15032 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 97468861800 in words is "ninety-seven billion, four hundred sixty-eight million, eight hundred sixty-one thousand, eight hundred".