196813180368000 has 3072 divisors, whose sum is σ = 889453660492800. Its totient is φ = 40664236032000.

The previous prime is 196813180367939. The next prime is 196813180368041. The reversal of 196813180368000 is 863081318691.

196813180368000 is a `hidden beast` number, since 1 + 96 + 8 + 13 + 180 + 368 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 104855183062 + ... + 104855184938.

It is an arithmetic number, because the mean of its divisors is an integer number (289535696775).

Almost surely, 2^{196813180368000} is an apocalyptic number.

196813180368000 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 196813180368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444726830246400).

196813180368000 is an abundant number, since it is smaller than the sum of its proper divisors (692640480124800).

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

196813180368000 is a wasteful number, since it uses less digits than its factorization.

196813180368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 196813180368000 in words is "one hundred ninety-six trillion, eight hundred thirteen billion, one hundred eighty million, three hundred sixty-eight thousand".