197873444643840 has 4356 divisors, whose sum is σ = 897746820432156. Its totient is φ = 41689735299072.

The previous prime is 197873444643817. The next prime is 197873444643841. The reversal of 197873444643840 is 48346444378791.

197873444643840 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 73 + 44 + 46 + 438 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129419928658944 + 68453515984896 = 11376288^2 + 8273664^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (197873444643841) by changing a digit.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 5347930936302 + ... + 5347930936338.

Almost surely, 2^{197873444643840} is an apocalyptic number.

197873444643840 is a gapful number since it is divisible by the number (10) 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 197873444643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448873410216078).

197873444643840 is an abundant number, since it is smaller than the sum of its proper divisors (699873375788316).

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

197873444643840 is an frugal number, since it uses more digits than its factorization.

197873444643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 72.

The spelling of 197873444643840 in words is "one hundred ninety-seven trillion, eight hundred seventy-three billion, four hundred forty-four million, six hundred forty-three thousand, eight hundred forty".