16147828224 has 720 divisors, whose sum is σ = 57987895680. Its totient is φ = 4434186240.

The previous prime is 16147828181. The next prime is 16147828259. The reversal of 16147828224 is 42282874161.

16147828224 is a `hidden beast` number, since 1 + 614 + 7 + 8 + 2 + 8 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16147828224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 702079477 + ... + 702079499.

It is an arithmetic number, because the mean of its divisors is an integer number (80538744).

Almost surely, 2^16147828224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16147828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28993947840).

16147828224 is an abundant number, since it is smaller than the sum of its proper divisors (41840067456).

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

16147828224 is an frugal number, since it uses more digits than its factorization.

16147828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 16147828224 in words is "sixteen billion, one hundred forty-seven million, eight hundred twenty-eight thousand, two hundred twenty-four".