197957083113216 has 864 divisors, whose sum is σ = 722687858780160. Its totient is φ = 52782483714048.

The previous prime is 197957083113193. The next prime is 197957083113269. The reversal of 197957083113216 is 612311380759791.

197957083113216 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 570 + 8 + 3 + 11 + 32 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554156935 + ... + 554514041.

Almost surely, 2^{197957083113216} is an apocalyptic number.

197957083113216 is a gapful number since it is divisible by the number (16) 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 197957083113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361343929390080).

197957083113216 is an abundant number, since it is smaller than the sum of its proper divisors (524730775666944).

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

197957083113216 is an equidigital number, since it uses as much as digits as its factorization.

197957083113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357231 (or 357205 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 197957083113216 in words is "one hundred ninety-seven trillion, nine hundred fifty-seven billion, eighty-three million, one hundred thirteen thousand, two hundred sixteen".