16342505000 has 80 divisors (see below), whose sum is σ = 38391601380. Its totient is φ = 6519744000.

The previous prime is 16342504993. The next prime is 16342505027. The reversal of 16342505000 is 50524361.

16342505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 2046476644 + 14296028356 = 45238^2 + 119566^2 .

It is a super-3 number, since 3×16342505000³ (a number of 32 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 1980884 + ... + 1989116.

Almost surely, 2^16342505000 is an apocalyptic number.

16342505000 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 16342505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195800690).

16342505000 is an abundant number, since it is smaller than the sum of its proper divisors (22049096380).

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

16342505000 is an equidigital number, since it uses as much as digits as its factorization.

16342505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 16342505000 in words is "sixteen billion, three hundred forty-two million, five hundred five thousand".