16434214416 has 105 divisors (see below), whose sum is σ = 47780349631. Its totient is φ = 5473456416.

The previous prime is 16434214399. The next prime is 16434214429. The reversal of 16434214416 is 61441243461.

The square root of 16434214416 is 128196.

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

16434214416 is a `hidden beast` number, since 1 + 6 + 434 + 214 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 13844575 + ... + 13845761.

Almost surely, 2^16434214416 is an apocalyptic number.

16434214416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16434214416 is the 128196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434214416

16434214416 is an abundant number, since it is smaller than the sum of its proper divisors (31346135215).

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

16434214416 is an frugal number, since it uses more digits than its factorization.

16434214416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 1192 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Multiplying 16434214416 by its sum of digits (36), we get a square (591631718976 = 769176²).

16434214416 divided by its sum of digits (36) gives a square (456505956 = 21366²).

Adding to 16434214416 its reverse (61441243461), we get a palindrome (77875457877).

The spelling of 16434214416 in words is "sixteen billion, four hundred thirty-four million, two hundred fourteen thousand, four hundred sixteen".