196986961840032 has 1728 divisors, whose sum is σ = 764437904455680. Its totient is φ = 47547614822400.

The previous prime is 196986961840013. The next prime is 196986961840033. The reversal of 196986961840032 is 230048169689691.

196986961840032 is a `hidden beast` number, since 1 + 9 + 6 + 98 + 6 + 96 + 18 + 400 + 32 = 666.

It is a super-2 number, since 2×196986961840032² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (196986961840033) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11641558932 + ... + 11641575852.

It is an arithmetic number, because the mean of its divisors is an integer number (442383046560).

Almost surely, 2^{196986961840032} is an apocalyptic number.

196986961840032 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 196986961840032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382218952227840).

196986961840032 is an abundant number, since it is smaller than the sum of its proper divisors (567450942615648).

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

196986961840032 is a wasteful number, since it uses less digits than its factorization.

196986961840032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17107 (or 17089 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 196986961840032 in words is "one hundred ninety-six trillion, nine hundred eighty-six billion, nine hundred sixty-one million, eight hundred forty thousand, thirty-two".