132384424896 has 168 divisors, whose sum is σ = 395384755584. Its totient is φ = 43917914880.

The previous prime is 132384424883. The next prime is 132384424957. The reversal of 132384424896 is 698424483231.

It is a happy number.

132384424896 is a `hidden beast` number, since 13 + 2 + 384 + 4 + 248 + 9 + 6 = 666.

It is a super-2 number, since 2×132384424896² (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 3261301 + ... + 3301643.

It is an arithmetic number, because the mean of its divisors is an integer number (2353480688).

Almost surely, 2^132384424896 is an apocalyptic number.

132384424896 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 132384424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197692377792).

132384424896 is an abundant number, since it is smaller than the sum of its proper divisors (263000330688).

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

132384424896 is an equidigital number, since it uses as much as digits as its factorization.

132384424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40581 (or 40559 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 132384424896 in words is "one hundred thirty-two billion, three hundred eighty-four million, four hundred twenty-four thousand, eight hundred ninety-six".