16434113075160 has 128 divisors (see below), whose sum is σ = 53796946210560. Its totient is φ = 3983095846400.

The previous prime is 16434113075137. The next prime is 16434113075167. The reversal of 16434113075160 is 6157031143461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434113075167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4200130 + ... + 7106990.

It is an arithmetic number, because the mean of its divisors is an integer number (420288642270).

Almost surely, 2^{16434113075160} is an apocalyptic number.

16434113075160 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 16434113075160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26898473105280).

16434113075160 is an abundant number, since it is smaller than the sum of its proper divisors (37362833135400).

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

16434113075160 is a wasteful number, since it uses less digits than its factorization.

16434113075160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911169 (or 2911165 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 16434113075160 in words is "sixteen trillion, four hundred thirty-four billion, one hundred thirteen million, seventy-five thousand, one hundred sixty".