16434122037732 has 108 divisors (see below), whose sum is σ = 48372619293180. Its totient is φ = 4690753345152.

The previous prime is 16434122037551. The next prime is 16434122037793. The reversal of 16434122037732 is 23773022143461.

16434122037732 is a `hidden beast` number, since 1 + 6 + 4 + 341 + 2 + 203 + 77 + 32 = 666.

16434122037732 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 2 ways, for example, as 5232409202916 + 11201712834816 = 2287446^2 + 3346896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2913507 + ... + 6430922.

It is an arithmetic number, because the mean of its divisors is an integer number (447894623085).

Almost surely, 2^{16434122037732} is an apocalyptic number.

16434122037732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16434122037732 is an abundant number, since it is smaller than the sum of its proper divisors (31938497255448).

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

16434122037732 is a wasteful number, since it uses less digits than its factorization.

16434122037732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345450 (or 9345438 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 16434122037732 in words is "sixteen trillion, four hundred thirty-four billion, one hundred twenty-two million, thirty-seven thousand, seven hundred thirty-two".