196424307612000 has 2304 divisors, whose sum is σ = 831996919353600. Its totient is φ = 45083580825600.

The previous prime is 196424307611999. The next prime is 196424307612007. The reversal of 196424307612000 is 216703424691.

196424307612000 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 2 + 430 + 7 + 6 + 1 + 200 + 0 = 666.

It is a super-2 number, since 2×196424307612000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196424307612007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23414503806 + ... + 23414512194.

It is an arithmetic number, because the mean of its divisors is an integer number (361109774025).

Almost surely, 2^{196424307612000} is an apocalyptic number.

196424307612000 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 196424307612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415998459676800).

196424307612000 is an abundant number, since it is smaller than the sum of its proper divisors (635572611741600).

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

196424307612000 is a wasteful number, since it uses less digits than its factorization.

196424307612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 196424307612000 in words is "one hundred ninety-six trillion, four hundred twenty-four billion, three hundred seven million, six hundred twelve thousand".