196515141984 has 768 divisors, whose sum is σ = 702721474560. Its totient is φ = 52877670912.

The previous prime is 196515141943. The next prime is 196515142027. The reversal of 196515141984 is 489141515691.

196515141984 is a `hidden beast` number, since 1 + 9 + 6 + 515 + 1 + 41 + 9 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 196515141984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1205614287 + ... + 1205614449.

It is an arithmetic number, because the mean of its divisors is an integer number (915001920).

Almost surely, 2^196515141984 is an apocalyptic number.

196515141984 is a gapful number since it is divisible by the number (14) 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 196515141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351360737280).

196515141984 is an abundant number, since it is smaller than the sum of its proper divisors (506206332576).

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

196515141984 is a wasteful number, since it uses less digits than its factorization.

196515141984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The spelling of 196515141984 in words is "one hundred ninety-six billion, five hundred fifteen million, one hundred forty-one thousand, nine hundred eighty-four".