16244582849352 has 1152 divisors, whose sum is σ = 55987332710400. Its totient is φ = 4208333875200.

The previous prime is 16244582849351. The next prime is 16244582849353. The reversal of 16244582849352 is 25394828544261.

It is a happy number.

16244582849352 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 4 + 582 + 8 + 49 + 3 + 5 + 2 = 666.

16244582849352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16244582849351) and next prime (16244582849353).

It is a super-2 number, since 2×16244582849352² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16244582849352.

It is not an unprimeable number, because it can be changed into a prime (16244582849351) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15281827173 + ... + 15281828235.

It is an arithmetic number, because the mean of its divisors is an integer number (48600115200).

Almost surely, 2^{16244582849352} is an apocalyptic number.

16244582849352 is a gapful number since it is divisible by the number (12) 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 16244582849352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993666355200).

16244582849352 is an abundant number, since it is smaller than the sum of its proper divisors (39742749861048).

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

16244582849352 is a wasteful number, since it uses less digits than its factorization.

16244582849352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1279 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 16244582849352 in words is "sixteen trillion, two hundred forty-four billion, five hundred eighty-two million, eight hundred forty-nine thousand, three hundred fifty-two".