16328136432384 has 1728 divisors, whose sum is σ = 59517470638080. Its totient is φ = 4367001600000.

The previous prime is 16328136432371. The next prime is 16328136432409. The reversal of 16328136432384 is 48323463182361.

16328136432384 is a `hidden beast` number, since 1 + 6 + 3 + 281 + 36 + 4 + 323 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 self number, because there is not a number n which added to its sum of digits gives 16328136432384.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65052336259 + ... + 65052336509.

Almost surely, 2^{16328136432384} is an apocalyptic number.

16328136432384 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 16328136432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29758735319040).

16328136432384 is an abundant number, since it is smaller than the sum of its proper divisors (43189334205696).

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

16328136432384 is an equidigital number, since it uses as much as digits as its factorization.

16328136432384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 434 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 16328136432384 in words is "sixteen trillion, three hundred twenty-eight billion, one hundred thirty-six million, four hundred thirty-two thousand, three hundred eighty-four".