196446664249600 has 864 divisors, whose sum is σ = 544810849873920. Its totient is φ = 69788179169280.

The previous prime is 196446664249567. The next prime is 196446664249601. The reversal of 196446664249600 is 6942466644691.

It is a super-2 number, since 2×196446664249600² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (196446664249601) 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, 33279120249 + ... + 33279126151.

It is an arithmetic number, because the mean of its divisors is an integer number (630568113280).

Almost surely, 2^{196446664249600} is an apocalyptic number.

196446664249600 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 196446664249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272405424936960).

196446664249600 is an abundant number, since it is smaller than the sum of its proper divisors (348364185624320).

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

196446664249600 is a wasteful number, since it uses less digits than its factorization.

196446664249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 67.

The spelling of 196446664249600 in words is "one hundred ninety-six trillion, four hundred forty-six billion, six hundred sixty-four million, two hundred forty-nine thousand, six hundred".