16480848384 has 800 divisors, whose sum is σ = 66213012096. Its totient is φ = 3941498880.

The previous prime is 16480848361. The next prime is 16480848409. The reversal of 16480848384 is 48384808461.

16480848384 is a `hidden beast` number, since 1 + 6 + 4 + 80 + 8 + 483 + 84 = 666.

It is a super-2 number, since 2×16480848384² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16480848384.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41513274 + ... + 41513670.

Almost surely, 2^16480848384 is an apocalyptic number.

16480848384 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 16480848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33106506048).

16480848384 is an abundant number, since it is smaller than the sum of its proper divisors (49732163712).

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

16480848384 is a wasteful number, since it uses less digits than its factorization.

16480848384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 16480848384 in words is "sixteen billion, four hundred eighty million, eight hundred forty-eight thousand, three hundred eighty-four".