197011161414144 has 960 divisors, whose sum is σ = 725960899243008. Its totient is φ = 49941268070400.

The previous prime is 197011161414143. The next prime is 197011161414191. The reversal of 197011161414144 is 441414161110791.

197011161414144 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 1 + 1 + 1 + 614 + 14 + 14 + 4 = 666.

197011161414144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 197011161414144.

It is not an unprimeable number, because it can be changed into a prime (197011161414143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21863402599 + ... + 21863411609.

Almost surely, 2^{197011161414144} is an apocalyptic number.

197011161414144 is a gapful number since it is divisible by the number (14) 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 197011161414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362980449621504).

197011161414144 is an abundant number, since it is smaller than the sum of its proper divisors (528949737828864).

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

197011161414144 is a wasteful number, since it uses less digits than its factorization.

197011161414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10529 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 197011161414144 in words is "one hundred ninety-seven trillion, eleven billion, one hundred sixty-one million, four hundred fourteen thousand, one hundred forty-four".