16434112567464 has 128 divisors (see below), whose sum is σ = 47714641920000. Its totient is φ = 5231113348032.

The previous prime is 16434112567451. The next prime is 16434112567531. The reversal of 16434112567464 is 46476521143461.

It is a happy number.

16434112567464 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 1 + 12 + 567 + 4 + 64 = 666.

16434112567464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16434112567464.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214569 + ... + 5737095.

It is an arithmetic number, because the mean of its divisors is an integer number (372770640000).

Almost surely, 2^{16434112567464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434112567464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23857320960000).

16434112567464 is an abundant number, since it is smaller than the sum of its proper divisors (31280529352536).

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

16434112567464 is a wasteful number, since it uses less digits than its factorization.

16434112567464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523164 (or 5523154 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 16434112567464 in words is "sixteen trillion, four hundred thirty-four billion, one hundred twelve million, five hundred sixty-seven thousand, four hundred sixty-four".