119984965632 has 720 divisors, whose sum is σ = 432121189500. Its totient is φ = 33034272768.

The previous prime is 119984965489. The next prime is 119984965679. The reversal of 119984965632 is 236569489911.

119984965632 is a `hidden beast` number, since 1 + 1 + 9 + 98 + 496 + 56 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116079215616 + 3905750016 = 340704^2 + 62496^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 119984965632.

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 59 ways as a sum of consecutive naturals, for example, 235726594 + ... + 235727102.

Almost surely, 2^119984965632 is an apocalyptic number.

119984965632 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 119984965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216060594750).

119984965632 is an abundant number, since it is smaller than the sum of its proper divisors (312136223868).

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

119984965632 is an equidigital number, since it uses as much as digits as its factorization.

119984965632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 550 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 119984965632 in words is "one hundred nineteen billion, nine hundred eighty-four million, nine hundred sixty-five thousand, six hundred thirty-two".