16223839684416 has 1344 divisors, whose sum is σ = 62314604352000. Its totient is φ = 3916289212416.

The previous prime is 16223839684411. The next prime is 16223839684441. The reversal of 16223839684416 is 61448693832261.

16223839684416 is a `hidden beast` number, since 1 + 6 + 2 + 23 + 83 + 96 + 8 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×16223839684416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16223839684411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70846461390 + ... + 70846461618.

It is an arithmetic number, because the mean of its divisors is an integer number (46365033000).

Almost surely, 2^{16223839684416} is an apocalyptic number.

16223839684416 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 16223839684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31157302176000).

16223839684416 is an abundant number, since it is smaller than the sum of its proper divisors (46090764667584).

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

16223839684416 is a wasteful number, since it uses less digits than its factorization.

16223839684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 314 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 16223839684416 in words is "sixteen trillion, two hundred twenty-three billion, eight hundred thirty-nine million, six hundred eighty-four thousand, four hundred sixteen".