97048336896000 has 1872 divisors, whose sum is σ = 422066445615360. Its totient is φ = 22181083545600.

The previous prime is 97048336895987. The next prime is 97048336896019. The reversal of 97048336896000 is 69863384079.

97048336896000 is a `hidden beast` number, since 9 + 7 + 0 + 483 + 3 + 68 + 96 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×97048336896000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6096376041 + ... + 6096391959.

It is an arithmetic number, because the mean of its divisors is an integer number (225462844880).

Almost surely, 2^{97048336896000} is an apocalyptic number.

97048336896000 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 97048336896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211033222807680).

97048336896000 is an abundant number, since it is smaller than the sum of its proper divisors (325018108719360).

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

97048336896000 is an equidigital number, since it uses as much as digits as its factorization.

97048336896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15987 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 97048336896000 in words is "ninety-seven trillion, forty-eight billion, three hundred thirty-six million, eight hundred ninety-six thousand".