196817870710944 has 768 divisors, whose sum is σ = 696714736435200. Its totient is φ = 52802291985408.

The previous prime is 196817870710933. The next prime is 196817870710961. The reversal of 196817870710944 is 449017078718691.

It is a super-3 number, since 3×196817870710944³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16096981759 + ... + 16096993985.

It is an arithmetic number, because the mean of its divisors is an integer number (907180646400).

Almost surely, 2^{196817870710944} is an apocalyptic number.

196817870710944 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 196817870710944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348357368217600).

196817870710944 is an abundant number, since it is smaller than the sum of its proper divisors (499896865724256).

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

196817870710944 is a wasteful number, since it uses less digits than its factorization.

196817870710944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13502 (or 13488 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 196817870710944 in words is "one hundred ninety-six trillion, eight hundred seventeen billion, eight hundred seventy million, seven hundred ten thousand, nine hundred forty-four".