16427216484 has 216 divisors, whose sum is σ = 51380056728. Its totient is φ = 4397137920.

The previous prime is 16427216483. The next prime is 16427216521. The reversal of 16427216484 is 48461272461.

16427216484 is a `hidden beast` number, since 1 + 6 + 427 + 216 + 4 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10025616384 + 6401600100 = 100128^2 + 80010^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16427216483) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7225972 + ... + 7228244.

It is an arithmetic number, because the mean of its divisors is an integer number (237870633).

Almost surely, 2^16427216484 is an apocalyptic number.

16427216484 is a gapful number since it is divisible by the number (14) 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 16427216484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25690028364).

16427216484 is an abundant number, since it is smaller than the sum of its proper divisors (34952840244).

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

16427216484 is a wasteful number, since it uses less digits than its factorization.

16427216484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2543 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 16427216484 in words is "sixteen billion, four hundred twenty-seven million, two hundred sixteen thousand, four hundred eighty-four".