16264019209248 has 240 divisors, whose sum is σ = 48521408310144. Its totient is φ = 5343254138880.

The previous prime is 16264019209199. The next prime is 16264019209331. The reversal of 16264019209248 is 84290291046261.

16264019209248 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 401 + 9 + 209 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16264019209194 and 16264019209203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 649068336 + ... + 649093392.

Almost surely, 2^{16264019209248} is an apocalyptic number.

16264019209248 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 16264019209248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24260704155072).

16264019209248 is an abundant number, since it is smaller than the sum of its proper divisors (32257389100896).

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

16264019209248 is a wasteful number, since it uses less digits than its factorization.

16264019209248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28677 (or 28660 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16264019209248 in words is "sixteen trillion, two hundred sixty-four billion, nineteen million, two hundred nine thousand, two hundred forty-eight".