196386085109952 has 448 divisors, whose sum is σ = 596112819456000. Its totient is φ = 63368016712704.

The previous prime is 196386085109933. The next prime is 196386085109971. The reversal of 196386085109952 is 259901580683691.

196386085109952 is a `hidden beast` number, since 1 + 9 + 6 + 3 + 8 + 608 + 5 + 1 + 0 + 9 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (196386085109933) and next prime (196386085109971).

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 63 ways as a sum of consecutive naturals, for example, 30786340299 + ... + 30786346677.

It is an arithmetic number, because the mean of its divisors is an integer number (1330608972000).

Almost surely, 2^{196386085109952} is an apocalyptic number.

196386085109952 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 196386085109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298056409728000).

196386085109952 is an abundant number, since it is smaller than the sum of its proper divisors (399726734346048).

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

196386085109952 is a wasteful number, since it uses less digits than its factorization.

196386085109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11033 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 196386085109952 in words is "one hundred ninety-six trillion, three hundred eighty-six billion, eighty-five million, one hundred nine thousand, nine hundred fifty-two".