196914968286624 has 1728 divisors, whose sum is σ = 728431911567360. Its totient is φ = 50069845647360.

The previous prime is 196914968286581. The next prime is 196914968286629. The reversal of 196914968286624 is 426682869419691.

196914968286624 is a `hidden beast` number, since 1 + 9 + 69 + 1 + 496 + 8 + 2 + 8 + 6 + 62 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (196914968286629) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 80669793244 + ... + 80669795684.

It is an arithmetic number, because the mean of its divisors is an integer number (421546245120).

Almost surely, 2^{196914968286624} is an apocalyptic number.

196914968286624 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 196914968286624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364215955783680).

196914968286624 is an abundant number, since it is smaller than the sum of its proper divisors (531516943280736).

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

196914968286624 is a wasteful number, since it uses less digits than its factorization.

196914968286624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2725 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 81.

The spelling of 196914968286624 in words is "one hundred ninety-six trillion, nine hundred fourteen billion, nine hundred sixty-eight million, two hundred eighty-six thousand, six hundred twenty-four".