97113848140800 has 1848 divisors, whose sum is σ = 392528610295416. Its totient is φ = 23712057262080.

The previous prime is 97113848140741. The next prime is 97113848140811. The reversal of 97113848140800 is 804184831179.

97113848140800 is a `hidden beast` number, since 9 + 7 + 11 + 38 + 481 + 40 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 48160935936 + 97065687204864 = 219456^2 + 9852192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11738645464 + ... + 11738653736.

Almost surely, 2^{97113848140800} is an apocalyptic number.

97113848140800 is a gapful number since it is divisible by the number (90) 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 97113848140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196264305147708).

97113848140800 is an abundant number, since it is smaller than the sum of its proper divisors (295414762154616).

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

97113848140800 is a wasteful number, since it uses less digits than its factorization.

97113848140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8375 (or 8337 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 97113848140800 in words is "ninety-seven trillion, one hundred thirteen billion, eight hundred forty-eight million, one hundred forty thousand, eight hundred".