16113418828416 has 384 divisors, whose sum is σ = 57084362375040. Its totient is φ = 4248501166080.

The previous prime is 16113418828349. The next prime is 16113418828453. The reversal of 16113418828416 is 61482881431161.

16113418828416 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 341 + 8 + 8 + 284 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411236346 + ... + 411275526.

It is an arithmetic number, because the mean of its divisors is an integer number (148657193685).

Almost surely, 2^{16113418828416} is an apocalyptic number.

16113418828416 is a gapful number since it is divisible by the number (16) 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 16113418828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28542181187520).

16113418828416 is an abundant number, since it is smaller than the sum of its proper divisors (40970943546624).

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

16113418828416 is a wasteful number, since it uses less digits than its factorization.

16113418828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43144 (or 43129 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 16113418828416 in words is "sixteen trillion, one hundred thirteen billion, four hundred eighteen million, eight hundred twenty-eight thousand, four hundred sixteen".