16348217040001 has 48 divisors (see below), whose sum is σ = 21781868207040. Its totient is φ = 12116022145920.

The previous prime is 16348217039933. The next prime is 16348217040017. The reversal of 16348217040001 is 10004071284361.

It is a de Polignac number, because none of the positive numbers 2^k-16348217040001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16348217040091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6757830 + ... + 8852383.

It is an arithmetic number, because the mean of its divisors is an integer number (453788920980).

Almost surely, 2^{16348217040001} is an apocalyptic number.

16348217040001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16348217040001 is a deficient number, since it is larger than the sum of its proper divisors (5433651167039).

16348217040001 is a wasteful number, since it uses less digits than its factorization.

16348217040001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15610334 (or 15610327 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 16348217040001 in words is "sixteen trillion, three hundred forty-eight billion, two hundred seventeen million, forty thousand, one".