16434583296820 has 48 divisors (see below), whose sum is σ = 37167742765440. Its totient is φ = 6068104765056.

The previous prime is 16434583296809. The next prime is 16434583296823. The reversal of 16434583296820 is 2869238543461.

It is a happy number.

It is a super-2 number, since 2×16434583296820² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434583296823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54376239 + ... + 54677641.

It is an arithmetic number, because the mean of its divisors is an integer number (774327974280).

Almost surely, 2^{16434583296820} is an apocalyptic number.

16434583296820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16434583296820 is an abundant number, since it is smaller than the sum of its proper divisors (20733159468620).

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

16434583296820 is a wasteful number, since it uses less digits than its factorization.

16434583296820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511144 (or 511142 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 61.

The spelling of 16434583296820 in words is "sixteen trillion, four hundred thirty-four billion, five hundred eighty-three million, two hundred ninety-six thousand, eight hundred twenty".