196948537344000 has 3072 divisors, whose sum is σ = 820242754007040. Its totient is φ = 46820229120000.

The previous prime is 196948537343989. The next prime is 196948537344001. The reversal of 196948537344000 is 443735849691.

196948537344000 is a `hidden beast` number, since 1 + 9 + 6 + 94 + 8 + 537 + 3 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-4 number, since 4×196948537344000⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196948537344001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401117183755 + ... + 401117184245.

It is an arithmetic number, because the mean of its divisors is an integer number (267006104820).

Almost surely, 2^{196948537344000} is an apocalyptic number.

196948537344000 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 196948537344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410121377003520).

196948537344000 is an abundant number, since it is smaller than the sum of its proper divisors (623294216663040).

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

196948537344000 is an frugal number, since it uses more digits than its factorization.

196948537344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 196948537344000 in words is "one hundred ninety-six trillion, nine hundred forty-eight billion, five hundred thirty-seven million, three hundred forty-four thousand".