16348921344 has 360 divisors, whose sum is σ = 55834415208. Its totient is φ = 4590673920.

The previous prime is 16348921331. The next prime is 16348921367. The reversal of 16348921344 is 44312984361.

16348921344 is a `hidden beast` number, since 1 + 634 + 8 + 9 + 2 + 1 + 3 + 4 + 4 = 666.

16348921344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16348921344² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16348921344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13772719 + ... + 13773905.

Almost surely, 2^16348921344 is an apocalyptic number.

16348921344 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 16348921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27917207604).

16348921344 is an abundant number, since it is smaller than the sum of its proper divisors (39485493864).

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

16348921344 is a wasteful number, since it uses less digits than its factorization.

16348921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1260 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 16348921344 in words is "sixteen billion, three hundred forty-eight million, nine hundred twenty-one thousand, three hundred forty-four".