196808242752 has 1344 divisors, whose sum is σ = 728523694080. Its totient is φ = 51956121600.

The previous prime is 196808242727. The next prime is 196808242759. The reversal of 196808242752 is 257242808691.

196808242752 is a `hidden beast` number, since 1 + 96 + 8 + 0 + 82 + 427 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (196808242759) 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, 3335732899 + ... + 3335732957.

It is an arithmetic number, because the mean of its divisors is an integer number (542056320).

Almost surely, 2^196808242752 is an apocalyptic number.

196808242752 is a gapful number since it is divisible by the number (12) 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 196808242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364261847040).

196808242752 is an abundant number, since it is smaller than the sum of its proper divisors (531715451328).

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

196808242752 is a wasteful number, since it uses less digits than its factorization.

196808242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 196808242752 in words is "one hundred ninety-six billion, eight hundred eight million, two hundred forty-two thousand, seven hundred fifty-two".