16408629541632 has 144 divisors (see below), whose sum is σ = 44434696934880. Its totient is φ = 5374073241600.

The previous prime is 16408629541631. The next prime is 16408629541657. The reversal of 16408629541632 is 23614592680461.

It is a happy number.

16408629541632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16408629541631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43333282 + ... + 43710302.

It is an arithmetic number, because the mean of its divisors is an integer number (308574284270).

Almost surely, 2^{16408629541632} is an apocalyptic number.

16408629541632 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 16408629541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217348467440).

16408629541632 is an abundant number, since it is smaller than the sum of its proper divisors (28026067393248).

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

16408629541632 is an equidigital number, since it uses as much as digits as its factorization.

16408629541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378030 (or 378016 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 16408629541632 in words is "sixteen trillion, four hundred eight billion, six hundred twenty-nine million, five hundred forty-one thousand, six hundred thirty-two".