196294314172320 has 7680 divisors, whose sum is σ = 970435952640000. Its totient is φ = 36976275947520.

The previous prime is 196294314172283. The next prime is 196294314172373. The reversal of 196294314172320 is 23271413492691.

196294314172320 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 9 + 431 + 4 + 172 + 32 + 0 = 666.

196294314172320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 2484738154041 + ... + 2484738154119.

It is an arithmetic number, because the mean of its divisors is an integer number (126358848000).

Almost surely, 2^{196294314172320} is an apocalyptic number.

196294314172320 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 196294314172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485217976320000).

196294314172320 is an abundant number, since it is smaller than the sum of its proper divisors (774141638467680).

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

196294314172320 is a wasteful number, since it uses less digits than its factorization.

196294314172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 196294314172320 in words is "one hundred ninety-six trillion, two hundred ninety-four billion, three hundred fourteen million, one hundred seventy-two thousand, three hundred twenty".