16399484928 has 288 divisors, whose sum is σ = 50594544000. Its totient is φ = 5099618304.

The previous prime is 16399484923. The next prime is 16399484939. The reversal of 16399484928 is 82948499361.

16399484928 is a `hidden beast` number, since 1 + 63 + 9 + 9 + 484 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (16399484923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62355325 + ... + 62355587.

It is an arithmetic number, because the mean of its divisors is an integer number (175675500).

Almost surely, 2^16399484928 is an apocalyptic number.

16399484928 is a gapful number since it is divisible by the number (18) 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 16399484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297272000).

16399484928 is an abundant number, since it is smaller than the sum of its proper divisors (34195059072).

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

16399484928 is a wasteful number, since it uses less digits than its factorization.

16399484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 16399484928 in words is "sixteen billion, three hundred ninety-nine million, four hundred eighty-four thousand, nine hundred twenty-eight".