16432738000000 has 672 divisors, whose sum is σ = 48274886370420. Its totient is φ = 5554483200000.

The previous prime is 16432737999967. The next prime is 16432738000013. The reversal of 16432738000000 is 83723461.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 14186552382016 + 2246185617984 = 3766504^2 + 1498728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16432738000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7153998852 + ... + 7154001148.

Almost surely, 2^{16432738000000} is an apocalyptic number.

16432738000000 is a gapful number since it is divisible by the number (10) 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 16432738000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137443185210).

16432738000000 is an abundant number, since it is smaller than the sum of its proper divisors (31842148370420).

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

16432738000000 is an frugal number, since it uses more digits than its factorization.

16432738000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 16432738000000 in words is "sixteen trillion, four hundred thirty-two billion, seven hundred thirty-eight million", and thus it is an aban number.