16214456896 has 63 divisors (see below), whose sum is σ = 35390985987. Its totient is φ = 7365114240.

The previous prime is 16214456893. The next prime is 16214456927. The reversal of 16214456896 is 69865441261.

The square root of 16214456896 is 127336.

It is a perfect power (a square), and thus also a powerful number.

16214456896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16214456896² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16214456893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11204845 + ... + 11206291.

Almost surely, 2^16214456896 is an apocalyptic number.

16214456896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16214456896 is the 127336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16214456896

16214456896 is an abundant number, since it is smaller than the sum of its proper divisors (19176529091).

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

16214456896 is an frugal number, since it uses more digits than its factorization.

16214456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 1460 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The spelling of 16214456896 in words is "sixteen billion, two hundred fourteen million, four hundred fifty-six thousand, eight hundred ninety-six".