196208607149568 has 480 divisors, whose sum is σ = 669618071138016. Its totient is φ = 56820584153088.

The previous prime is 196208607149567. The next prime is 196208607149587. The reversal of 196208607149568 is 865941706802691.

196208607149568 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 0 + 8 + 6 + 0 + 71 + 495 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 196208607149496 and 196208607149505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196208607149561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23927980 + ... + 31063892.

Almost surely, 2^{196208607149568} is an apocalyptic number.

196208607149568 is a gapful number since it is divisible by the number (18) 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 196208607149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334809035569008).

196208607149568 is an abundant number, since it is smaller than the sum of its proper divisors (473409463988448).

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

196208607149568 is an equidigital number, since it uses as much as digits as its factorization.

196208607149568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135976 (or 7135948 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 196208607149568 in words is "one hundred ninety-six trillion, two hundred eight billion, six hundred seven million, one hundred forty-nine thousand, five hundred sixty-eight".