196884016155936 has 192 divisors, whose sum is σ = 581346463703040. Its totient is φ = 64816912385280.

The previous prime is 196884016155919. The next prime is 196884016155947. The reversal of 196884016155936 is 639551610488691.

196884016155936 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 8 + 4 + 0 + 1 + 61 + 559 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228402801 + ... + 229263183.

It is an arithmetic number, because the mean of its divisors is an integer number (3027846165120).

Almost surely, 2^{196884016155936} is an apocalyptic number.

196884016155936 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 196884016155936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290673231851520).

196884016155936 is an abundant number, since it is smaller than the sum of its proper divisors (384462447547104).

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

196884016155936 is a wasteful number, since it uses less digits than its factorization.

196884016155936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863676 (or 863662 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 196884016155936 in words is "one hundred ninety-six trillion, eight hundred eighty-four billion, sixteen million, one hundred fifty-five thousand, nine hundred thirty-six".