16218372096 has 432 divisors, whose sum is σ = 52227367920. Its totient is φ = 5016453120.

The previous prime is 16218372047. The next prime is 16218372103. The reversal of 16218372096 is 69027381261.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×16218372096² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228427741 + ... + 228427811.

It is an arithmetic number, because the mean of its divisors is an integer number (120896685).

Almost surely, 2^16218372096 is an apocalyptic number.

16218372096 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 16218372096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26113683960).

16218372096 is an abundant number, since it is smaller than the sum of its proper divisors (36008995824).

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

16218372096 is an frugal number, since it uses more digits than its factorization.

16218372096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 16218372096 in words is "sixteen billion, two hundred eighteen million, three hundred seventy-two thousand, ninety-six".