196449878016 has 1080 divisors, whose sum is σ = 734237693280. Its totient is φ = 52171112448.

The previous prime is 196449878003. The next prime is 196449878057. The reversal of 196449878016 is 610878944691.

196449878016 is a `hidden beast` number, since 1 + 9 + 64 + 498 + 7 + 80 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3706601446 + ... + 3706601498.

It is an arithmetic number, because the mean of its divisors is an integer number (679849716).

Almost surely, 2^196449878016 is an apocalyptic number.

196449878016 is a gapful number since it is divisible by the number (16) 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 196449878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367118846640).

196449878016 is an abundant number, since it is smaller than the sum of its proper divisors (537787815264).

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

196449878016 is an frugal number, since it uses more digits than its factorization.

196449878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 196449878016 in words is "one hundred ninety-six billion, four hundred forty-nine million, eight hundred seventy-eight thousand, sixteen".