196815140244000 has 288 divisors, whose sum is σ = 701018617820976. Its totient is φ = 52294561689600.

The previous prime is 196815140243977. The next prime is 196815140244031. The reversal of 196815140244000 is 442041518691.

196815140244000 is a `hidden beast` number, since 1 + 9 + 6 + 81 + 5 + 140 + 24 + 400 + 0 = 666.

196815140244000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2178823975056 + 194636316268944 = 1476084^2 + 13951212^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103612 + ... + 19840388.

Almost surely, 2^{196815140244000} is an apocalyptic number.

196815140244000 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 196815140244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350509308910488).

196815140244000 is an abundant number, since it is smaller than the sum of its proper divisors (504203477576976).

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

196815140244000 is a wasteful number, since it uses less digits than its factorization.

196815140244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19737085 (or 19737064 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 196815140244000 in words is "one hundred ninety-six trillion, eight hundred fifteen billion, one hundred forty million, two hundred forty-four thousand".